Simplify the following: 45-320+45 - Vidyadip

Question

Simplify the following:
$\sqrt{45}-3\sqrt{20}+4\sqrt{5}$

✓

Answer

$\sqrt{45}-3\sqrt{20}+4\sqrt{5}$
$=\sqrt{9\times5}-3\sqrt{4\times5}+4\sqrt{5}$
$=3\sqrt{5}-3\times2\sqrt{5}+4\sqrt{5}$
$=(3-6+4)\sqrt{5}=\sqrt{5}$

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