Question

Which of the following is a rational number?

square root 1 square root 2, square root 3, square root 5

square root 1
square root 2
square root 03
square root 05

Answer 1

√1 = 1
√2 = 1.414213562
√3 = 1.732050808
√5 = 2.236067977

So your answer is √1 Because it is the only rational number

Hope this helps :)

Answer 2

A.
`√(1)`

Explanation:

We have been given four numbers. We are asked to choose the rational number.

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

A.
`√(1)`

`√(1^2)=1`

Therefore,
`√(1)` is a rational number.

B.
`√(2)`

`√(2)=1.414213562373095`

Since
`√(2)` has non terminating decimals, therefore, it is an irrational number.

C.
`√(3)`

`√(3)=1.7320508075688773`

Since
`√(3)` has non terminating decimals, therefore, it is an irrational number.

D.
`√(5)`

`√(5)=2.2360679774997897`

Since
`√(5)` has non terminating decimals, therefore, it is an irrational number.