High School

Select all rational numbers.

A. \(\sqrt{75}\)

B. \(-\sqrt{25}\)

C. \(\sqrt{7}\)

D. 100

E. \(\sqrt{0.36}\)

F. \(\sqrt{0.0144}\)

G. 36

H. 49

Answer :

All the rational numbers are;

2. - √25

4. 100

5. √0.36

6. √0.0144

7. √36

8. √ 49

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

All the numbers are,

1. √75

2. - √25

3. 2√7

4. 100

5. √0.36

6. √0.0144

7. √36

8. √ 49

Now,

1. √75 = 8.660250

Clearly, It cannot be written as the form of p / q.

So, It is not a rational number.

2. - √25 = - 5

It can be written as;

- √25 = - 5 / 1

So, It is a rational number.

3. 2√7

Since, √7 is an irrational number.

So, 2√7 is not a rational number.

4. 100

It can be written as;

100 / 1

So, It is a rational number.

5. √0.36 = 0.6

= 6 / 10

= 3 / 5

Thus, It is a rational number.

6. √0.0144 = 0.12

= 12 / 100

= 3 / 25

So, It is a rational number.

7. √36 = 6

= 6 / 1

So, It is a rational number.

8. √ 49 = 7

= 7 / 1

So, It is a rational number.

Therefore, All the rational numbers are;

2. - √25

4. 100

5. √0.36

6. √0.0144

7. √36

8. √ 49

Learn more about the rational numbers visit:

https://brainly.com/question/12088221

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