# Simplify \sqrt{128}+\sqrt{32}

Simplify $\sqrt{128}+\sqrt{32}$
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Ana Robertson
$\sqrt{128}+\sqrt{32}$
$\sqrt{\left(4×4\right)×\left(2×2\right)×2}+\sqrt{\left(4×4\right)×2}$
$4×2\sqrt{2}+4\sqrt{2}$
$8\sqrt{2}+4\sqrt{2}$
$=12\sqrt{2}$
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Melinda McCombs
$\sqrt{128}+\sqrt{32}=8\sqrt{2}+4\sqrt{2}=12\sqrt{2}$
###### Not exactly what you’re looking for?
karton

$\sqrt{128}=\sqrt{16}×\sqrt{8}=4×\sqrt{4}×\sqrt{2}=8\sqrt{2}$
$\sqrt{32}=\sqrt{16}×\sqrt{2}=4\sqrt{2}$
This means that $\sqrt{128}+\sqrt{32}=8\sqrt{2}+4\sqrt{2}=12\sqrt{2}$