Simplify $\sqrt{40} + \sqrt{90}$

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Solution

$\sqrt{40} + \sqrt{90}$
$= \sqrt{4 \times 10} + \sqrt{9 \times 10}$
$= 2 \sqrt{10} + 3 \sqrt{10}$
$= \sqrt{10} (2 + 3)$
$= 5 \sqrt{10}$ .

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