canh square roots be rational numbers ?

Answers

Answer 1
When the square root of a number is a whole number, this number is called a perfect square. ... Not all square roots are whole numbers. Many square roots are irrational numbers, meaning there is no rational number equivalent
Answer 2
Very good question, i’ll try to answer this as best as I can so here we go hope you enjoy

All rational numbers have the fraction form
,
a
b
,
where a and b are integers(≠0
b

0
).

My question is: for what
a
and
b
does the fraction have rational square root? The simple answer would be when both are perfect squares, but if two perfect squares are multiplied by a common integer
n
, the result may not be two perfect squares. Like:
49→818
4
9

8
18

And intuitively, without factoring, =8
a
=
8
and =18
b
=
18
must qualify by some standard to have a rational square root.

Once this is solved, can this be extended to any degree of roots? Like for what
a
and
b
does the fraction have rational
n
th root?

Have a blessed day God bless.

Related Questions

xy? - 2x+y when x = 2 and y=-3
What is the answer

Answers

The answer is 1
Pls give brainliest ❤️❤️

Answer:

Step-by-step explanation:

-2x+y

-2x2+-3

-4+-3

7

Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.

How many inches does the hairdresser cut?

Answers

Answer:

hairdresser cuts 8 inches

Step-by-step explanation:

32 ÷4 =8

clause: if 0>1 then 0>0

Answers

Step-by-step explanation:

false

0 can't he greater then any integer.

Which of these provides the best evidence that an environmental change has occurred?

Answers

Answer:

after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.

Step-by-step explanation:

The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is of the elevation of city C. Simplify the expression and explain why the answer is negative or positive.

Answers

Answer: d=c/4

Step-by-step explanation:

A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent

Answers

Answer:

$4.24

Step-by-step explanation:

100%-15%=85%

85/100x4.99=4.2415

4.2415 rounded off to nearest cent =4.24

Hope this helps! Thanks.

What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?

Answers

9514 1404 393

Answer:

  4x +y = -1

Step-by-step explanation:

The equation of the perpendicular line can be written by ...

swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.

The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.

  4x +y = 4(-2) +7 = -1

The desired perpendicular line has an equation ...

  4x +y = -1

Help me guys here
NonSense Answer=Report​

Answers

Just put the numbers in the calculator, write them down and then compare what integers are between the given numbers

The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)

Answers

Answer:

Step-by-step explanation:

74’F

Answer:

The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Step-by-step explanation:

To Find:

The range of possible temperatures in the house

Solution:

Given:

Thermostat is set to 70 °

Also actual temperature may by a much of 4°

If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F

If the temperature is 4°F higher, actual temperature = 70°+4° = 74°

Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Looking at the two, 7[tex]a^{4} b^{2} c^{2} and14abc^{6}[/tex]

what is the GCF of these

Answers

Answer:

[tex]7abc^{2}[/tex]

Step-by-step explanation:

If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres

Answers

Answer:

D. 19.87 acres

Step-by-step explanation:

do not put heart if wrong and put heart if correct

Hi please help me i need it, thanks

Answers

Answer:

perimeter: 20.1

area: 22.1

Step-by-step explanation:

Answer:

The formula to find the are of a parallelogram is = base x height

so the base is 3 1/4 x the height is 6. so now it will be

3 1/4 x 6

you now multiply it to get the area.

So the area I am getting for this is 16 1/2 cm2.

It might be wrong but there you go.

Make as brainiest

13+ 6.4+ 2.78 awnser ?

Answers

Answer:

22.28

Step-by-step explanation:

first add the decimals then the other number.

B
Acellus
16 m
С
А
20 m
Find the area of AABC.
[?] m
Enter

Answers

Answer:

area of triangle = 1/2×base×height

=1/2×20m×6m

= 20m×6m=120square metre

Is this sequence arithmetic? (Hint: determine if there is a common difference)


7, 18, 29, 40


A) yes

B) no

Answers

Yes because you add 11 each time
18-7=11
29-18=11 ……
Please mark brainelist

What is the equation of this line? A) y=-2x B)y=-1/2x C)y=2x D)y=1/2x

Answers

Answer:

y = -1/2 x

Step-by-step explanation:

Option B is the correct answer.

Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -4 2 -7 3 -10 4 -13

Answers

Answer:

y=-3x-1

Step-by-step explanation:

What is the median of this data set 15, 33,51,51,75

Answers

The median would be 51

Answer:

51

Step-by-step explanation:

1. The median of a data set is the middle number within the data points.

2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.

HELP LAST ATTEMPT ??!!

Answers

Answer:

x=26

Step-by-step explanation:

x+11+2x+1+90=180 [Angles in a straight line]

3x=180-102

x=78/3

x=26

or,

x+11+2x+1=90 [Complementary angles]

3x=90-12

x=78/3

x=26

What are the characteristics of the graph of the inequality x < 4.5?

The ray will move to the left.
It will use a closed circle.
It will use an open circle.
The ray will move to the right.

Answers

Answer:

see explanation

Step-by-step explanation:

Given x < 5

The graph will have an open circle at 5 indicating that x is not equal to 5, which would be a closed circle.

The ray will move to the left since values less than 5 are to the left of 5

Answer:Please see explanation

Step-by-step explanation:

What are the characteristics of the graph of the inequality x < 4.5?

The answer is The ray will move to the left.

It will use an open circle.

Please votes me 5 stars,1 heart,and mark as brainliest. Thanks

−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible

Answers

Answer:

Hello, the simplified expression would be:

7x + 6

Can someone pls help me plsss

Answers

Answer:

the first one

Step-by-step explanation:

1/2 and 1/5 common denominator is 10

If a square has a perimeter of 36cm how long is each side of the square

Answers

Answer:

9 cm

Step-by-step explanation:

→ Remember how many sides a square has

4

→ Divide it by the perimeter

36 ÷ 4 = 9

Step-by-step explanation:

you know what a square is ?

it is a closed shape with 4 sides.

all 4 sides are equally long.

all 4 inner angle are 90 degrees.

you know what a perimeter is ?

it is the circumference, the whole way one time around the shape, around the outline of a given structure.

if you don't know the terms, for heaven's sake, please ask your teacher, your friends, your parents or us here directly.

don't wait. don't be afraid or ashamed.

because this here is an extremely simple problem to solve, once you understand the words used.

so, as per the explanations, the perimeter of a square is the sum of the lengths of all sides. and because all sides are equally long, this means the perimeter is simply 4 times the length of one side.

36 = 4×side

side = 36/4 = 9cm

so, each side of the square is 9cm long.

2. Kirk is reading a science fiction novel. After his first 20 minutes of reading, he sees that he's read 32 pages of
the book. If the book is 375 pages long, which of the following is closest to the total time it will take him to
finish the book?

Answers

20 mins = 32 pages
375 pages / 32 = 11.7
11.7 x 20mins = 3.9 hours so 234 minutes

It will takes him 234 minutes to read 375 pages

The total time that should be taken by him to finish the book is 3.9 hours.

Given that,

There are 20 minutes of reading for 32 pages of the book.Now there are 375 pages.

Based on the above information, the time taken should be

[tex]= 375 \times 20 \div 32[/tex]

= 234.375 minutes

Now in hours it should be

[tex]= 234.375 \div 60[/tex]

= 3.9 hours

Therefore we can conclude that the total time that should be taken by him to finish the book is 3.9 hours.

Learn more: brainly.com/question/22271063

The larger trapezoid is dilated form the
smaller trapezoid

Answers

Answer:

are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.

Find the two numbers whose sum is54 and whose difference is 4

Answers

Answer: I can not see the picture

Step-by-step explanation:

can you show it?

Sum of 54: X + Y = 54
Difference is 4: X - Y = 4

Solve for one variable first.

X = 4 + y (rewritten from second equation)

Now plug into the first equation for x

4 + y + y = 54
4 + 2y = 54 (subtract 4)
2y = 50 (divide by 2)
Y = 25

Now use Y to solve for X

X - 25 = 4 (add 25 on each side)
X = 29

e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.

Answers

From the combined standard deviation, with the mean, and standard

deviation of the data sets, the required variance can be found.

[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]

Reasons:

The given data information are;

Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0

Standard deviation of the the first set, σ₁ = 4.0

Sample size of second observation, n₂ = 20

Mean of second sample, [tex]\overline x_2[/tex] = 10

Standard deviation of the combined set, σ₁₂ = 3.0

Sample size of combined set of observation, n₂ = 35

Solution:

The number of elements in the second sample, n₁ = 35 - 20 = 15

The standard deviation of the combined set is given by the formula;

[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]

Where;

[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]

Therefore;

[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]

d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]

[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]

d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]

[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]

Therefore;

[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]

Solving gives;

[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]

[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]

Learn more here:

https://brainly.com/question/16869429

What are the similarities and differences between a histogram and a frequency table?

Answers

Answer:

A frequency distribution table lists the data values, as well as the number of times each value appears in the data set. A histogram is a display that indicates the frequency of specified ranges of continuous data values on a graph in the form of immediately adjacent bars.

Step-by-step explanation:

HELP!!!!! Someone answer ASAP PLEASE!!!!

Answers

Answer:

thay are independent

Step-by-step explanation:

I only know that they are independent but Don't really know how to explain and do step by step.

Answer:

a, =to 13 and B, is to 45 and C,13 D, 14 of tells

Evaluate the following. Enter the answer as a simplified fraction.
sin(-11pi/6)cos(4pi/3)

Answers

Answer:  -25/100 or -1/4

Sorry if its wrong, Happy To Help

Step-by-step explanation:

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