Question

Simplify
(√3-√5)^2
plz dont send pic

Answer 1

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$( \sqrt{3} - \sqrt{5} {)}^{2} = \\ ( \sqrt{3 { \: )}^{2} } \: \: \: + ( \sqrt{5 {)}^{2} } \: \: \: - 2( \sqrt{3)} ( \sqrt{5)} \\ = \: 3 + 5 - 2 \sqrt{15} \\ = 8 - 2 \sqrt{15}$

Note :

Algebraic Identity used

$(x - y {)}^{2} = (x {)}^{2} + (y {)}^{2} - 2(x)(y)$

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