What is the simplest form of expression?
sqrt 3 - sqrt 6
over
sqrt 3 + sqrt 6
2 answers:
(√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
<span>=-3+2√2
Answer: </span>(√3-√6) / (√3+√6)= -3+2√2
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