Question #9a91c

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Question #9a91c

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Answer 1 · 2017-11-19T13:00:10

$6 (3 + \sqrt{5})$ $6(3+sqrt5)$

Explanation:

If the question is:- ${(\sqrt{3} + \sqrt{15})}^{2} t h e n :$ $(sqrt3+sqrt15)^2 then:$

$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $\sqrt{3} + \sqrt{15}$ $sqrt3+sqrt15$
$a a a a a a a a a a a$ $color(white)(aaaaaaaaaaa)$ $xx underline(sqrt3+sqrt15)$
$color(white)(aaaaaaaaaaaaa)$ $3+sqrt3*sqrt15$
$color(white)(aaaaaaaaaaaaaaaa)$ $+sqrt3*sqrt15+15$
$color(white)(aaaaaaaaaaaaa)$ $overline(3+2sqrt3*sqrt15+15)$

$color(white)(aaaaaaaaaaaaa)$ $:.=18+2sqrt3*sqrt15$

$color(white)(aaaaaaaaaaaaa)$ $:.18+2sqrt45$

$color(white)(aaaaaaaaaaaaa)$ $:.=18+2sqrt(5*3*3)$

$color(white)(aaaaaaaaaaaaa)$ $sqrt3*sqrt3=3$

$color(white)(aaaaaaaaaaaaa)$ $:.=18+2*3sqrt(5)$

$color(white)(aaaaaaaaaaaaa)$ $:.=18+6sqrt(5)$

$color(white)(aaaaaaaaaaaaa)$ $:.=6(3+sqrt(5))$

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Question #9a91c

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