Question
Simplify: $\big(\sqrt{5}-\sqrt{3}\big)^2$

Answer

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

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