Question

Which of the following is irrational?

Options

• `sqrt(4/9)`

• `sqrt(12)/sqrt(3)`

• `sqrt(7)`

• `sqrt(81)`

Answer 1

`bb(sqrt(7))`

Explanation:

Irrational numbers are real numbers which cannot be represented as simple fractions.

Examples: `sqrt(2), sqrt(3), pi`

`sqrt(4/9) = 2/3`  ...(Rational)

`sqrt(12)/sqrt(3) = (2sqrt(3))/sqrt(3) = 2`  ...(Rational)

`sqrt(81) = 9`  ...(Rational)

But `sqrt(7)` is an irrational number.