(√3-√6) / (√3+√6)
We have to multiply the denominator and numerator by the conjugate of the denominator.
the conjugate of the denominator is :(√3-√6)
Therefore:
(√3-√6) / (√3+√6) =[(√3-√6)(√3-√6)] / [(√3+√6)(√3-√6)]
=(√3-√6)² / (3-6)
=[3-2(√3)(√6)+6] / -3
=(9-2√18) / -3
=(-9+6√2) /3
=-3+2√2
Answer: (√3-√6) / (√3+√6)= -3+2√2
