Question
Simplify the following expression:$(\sqrt{5}-\sqrt{3})^2$
✓
Answer
$(\sqrt{5}-\sqrt{3})^2$ As we know, $(a-b)^2=\left(a^2-2 \times a \times b+b^2\right)$
$=(\sqrt{5})^2-2\times\sqrt{5\times3}+(\sqrt{3})^2$
$=5-2\sqrt{15}+3$
$=8-2\sqrt{15}$
$=(\sqrt{5})^2-2\times\sqrt{5\times3}+(\sqrt{3})^2$
$=5-2\sqrt{15}+3$
$=8-2\sqrt{15}$
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