Question

Is the square root of 113 rational or irrational?

Answer 1

The answer is that it is irrational

Answer 2

`√(113)` is an irrational number.

Explanation:

We are asked to find whether square root of 113 is rational or irrational.

We know that a number is rational number when it can be written as a fraction.

Upon finding the value of
`√(113)`, we will get:

`√(113)=10.6301458127346`

We can see that
`√(113)` has neither non-terminating nor a repeating decimal, therefore, it cannot be written as a fraction and it is an irrational number.