9. (2√3 - 3√2 - √6) / (2-√6 - √2) = (√3*(2-√6 - √2)) / (2-√6 - √2) = √3
10. √(14-6√5) - 1 / (2-√5) = √(9+5 - 6√5) - 1 / (2-√5) =
= √((3-√5)^2) - 1 / (2-√5) = ((3-√5)(2- √5) -1) / (2-√5) = (6-2√5 - 3√5 +5 -1) / (2-√5) = (10 - 5√5 ) / (2-√5) = 5(2-√5) / (2-√5) = 5.
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Answers & Comments
9. (2√3 - 3√2 - √6) / (2-√6 - √2) = (√3*(2-√6 - √2)) / (2-√6 - √2) = √3
10. √(14-6√5) - 1 / (2-√5) = √(9+5 - 6√5) - 1 / (2-√5) =
= √((3-√5)^2) - 1 / (2-√5) = ((3-√5)(2- √5) -1) / (2-√5) = (6-2√5 - 3√5 +5 -1) / (2-√5) = (10 - 5√5 ) / (2-√5) = 5(2-√5) / (2-√5) = 5.