Question

Which of the following is a rational number?

square root 97square root 98, square root 99, square root 100

Answer 1

square root of 100. hope this is helpful

Answer 2

D.
`√(100)`

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.
`√(97)`

`√(97)=9.8488578017961047`

Since
`√(97)` has non repeating and non terminating decimal, therefore,
`√(97)` is not a rational number.

B.
`√(98)`

`√(98)=9.8994949366116653`

Since
`√(98)` has non repeating and non terminating decimal, therefore,
`√(98)` is not a rational number.

C.
`√(99)`

`√(99)=9.9498743710661995`

Since
`√(99)` has non repeating and non terminating decimal, therefore,
`√(99)` is not a rational number.

D.
`√(100)`

`√(100)=√(10^2)=10`

We can write 10 as a fraction
`(10)/(1)`, therefore,
`√(100)` is a rational number.