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.