Question

Write the simplest rationalising factor of `sqrt(32)`.

Answer 1

To find the simplest rationalising factor of `sqrt(32)`, we follow these steps:

Step 1: Simplify the surd

`sqrt(32) = sqrt(16 xx 2) = 4sqrt(2)`

Now, to rationalise `1/sqrt(32)` or eliminate `sqrt(32)` from a denominator, we only need to rationalise `sqrt(2)` since 4 is already rational.

Simplest Rationalising Factor:

Rationalising factor of `sqrt(32) = sqrt(2)`.