## What is the simplified form of \(\frac{\sqrt{2}-\sqrt{10}}{\sqrt{2}+\sqrt{10}} ?\)

Answer 1:

\(-\frac{3}{2}+\frac{1}{2} \sqrt{5}\)

None of the given options is correct.

Explanation:

The difference of squares identity can be written:

Hence we can rationalise the denominator of the given expression by multiplying both numerator and denominator by \(\sqrt{2}-\sqrt{10}\) as follows:

Answer 2:

It seems that none of the options match this.

Perhaps you made an error while typing the possible answers.