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Order of Operations

Simplify : ...

Question

Simplify : $8 \sqrt{5} + \sqrt{20} - \sqrt{125}$

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Solution

$= 8 \sqrt{5} + \sqrt{20} - \sqrt{125}$
$= 8 \sqrt{5} + 2 \sqrt{5} - 5 \sqrt{5}$
$= 10 \sqrt{5} - 5 \sqrt{5}$
$= \sqrt{5} (10 - 5)$
$= 5 \sqrt{5}$

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