Question

Which of these numbers is an irrational number?

3⁄5

Square root of 4

Square root of 25

Square root of 20

5⁄3

Answer 1

Square root of 4 is the correct answer

Answer 2

D.
`√(20)`

Explanation:

We have been given some numbers. We are asked to choose the irrational number from our given choices.

We know that a number is rational number, which can be written as a fraction. A number is irrational when it has non-terminating non-repeating decimal.

A.
`(3)/(5)`

Since given number is fraction, so it is rational.

B.
`√(4)`

`√(4)=2`

Since we can write 2 as a fraction
`(2)/(1)`, so it is rational.

C.
`√(25)`

`√(25)=5`

Since we can write 5 as a fraction
`(5)/(1)`, so it is rational.

D.
`√(20)`

`√(20)=4.47213595499`

Since the given number has non-terminating non-repeating decimal, so it is irrational.

E.
`(5)/(3)`

Since given number is fraction, so it is rational.