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ohaa [14]
3 years ago
5

What is the simplest form of expression? sqrt 3 - sqrt 6 over sqrt 3 + sqrt 6

Mathematics
2 answers:
Kobotan [32]3 years ago
5 0
(√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
andrew11 [14]3 years ago
3 0
It's in a decimal form
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