Question

How do you simplify `3/(sqrt7-sqrt2)`?

Answer 1

`3/5(sqrt7+sqrt2)`

Explanation:

By rationalising the denominator which means that you multiply by the conjugate of your denominator

ie the denominator is `sqrt7-sqrt2` so the conjugate of the denominator is `sqrt7+sqrt2`

`3/(sqrt7-sqrt2)`

=`3/(sqrt7-sqrt2)times(sqrt7+sqrt2)/(sqrt7+sqrt2)`

=`(3(sqrt7+sqrt2))/(7-2)`

=`3/5(sqrt7+sqrt2)`