Question

Which of the following is a rational number?

Answer 1

Answer:

D. $\sqrt{100}$

Step-by-step explanation:

We have been given four numbers. We are asked to find the rational number from our given choices.

We know that a number is known as rational number if we can write it as a fraction.

Let us see our given choices one by one.

A. $\sqrt{97}$

$\sqrt{97}=9.8488578017961047$

Since $\sqrt{97}$ has non repeating and non terminating decimal, therefore, $\sqrt{97}$ is not a rational number.

B. $\sqrt{98}$

$\sqrt{98}=9.8994949366116653$

Since $\sqrt{98}$ has non repeating and non terminating decimal, therefore, $\sqrt{98}$ is not a rational number.

C. $\sqrt{99}$

$\sqrt{99}=9.9498743710661995$

Since $\sqrt{99}$ has non repeating and non terminating decimal, therefore, $\sqrt{99}$ is not a rational number.

D. $\sqrt{100}$

$\sqrt{100}=\sqrt{10^2}=10$

We can write 10 as a fraction $\frac{10}{1}$, therefore, $\sqrt{100}$ is a rational number.

Answer 2

Square root of 100. hope this is helpful