Question

Rationalise the denominator of the following: 

`1/sqrt(2)`

Answer 1

Given: `1/sqrt(2)`

Step-wise calculation:

1. Multiply both the numerator and denominator by `sqrt(2)`:

`1/sqrt(2) xx sqrt(2)/sqrt(2)`

= `(1 xx sqrt(2))/(sqrt(2) xx sqrt(2))`

= `sqrt(2)/2`

2. Simplify the denominator:

Since `sqrt(2) xx sqrt(2) = 2`, the expression becomes `sqrt(2)/2`.

The rationalised form of `1/sqrt(12)` is `sqrt(2)/2`.