Question

The smallest number by which \[\sqrt{27}\]  should be multiplied so as to get a rational number is ______.

Options

• `sqrt27`
• `3sqrt3`
• `sqrt3`

• 3

Answer 1

The smallest number by which \[\sqrt{27}\]  should be multiplied so as to get a rational number is `\underlinesqrt3`.

Explanation:

`sqrt27 = sqrt(9xx3) = sqrt9 . sqrt3 = 3sqrt3`

multiply by `sqrt3`

`3sqrt3 xx sqrt3 = 3xx3 = 9`

`= sqrt3`