Question

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Answer 1

a)
√2(√2+√5) =
= √2•√2+√2•√5 =
= √4+√10 =
= 2+√10

b)
√3(√3-2) =
= 3-√3•2 =

c)
√6•√2+√6•√3+√6•√6 =
= √12+√18+6 =
= 2√3+3√2+6

d)
(√8-√12)(√2-√3) =
= (2√2-2√3)(√2-√3) =
= 2√2•√2 +(-2√3)•(-√3) + 2√2•(-√3) + (-2√3)•√2 =
= 2•2 + 2•3 - 2√6 -2√6 =
= 10 - 4√6 =
= 2(5-2√6)

Answer 2

a) √2(√2+√5)=√4+√10
b) √3(√3–√2)=√9–√6=3–√6
c) √6(√2+√3+√6)=√12+√18+√36=2√3+3√2+6
d) (√8–√12)(√2+√3)=√16–√24+√24–√36=4–6=–2
e)(√18+√48)(2√3–√2)=6√6–6+√576–√96=6√6–6+24–4√6=2√6–22