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How do you simplify $\sqrt{2} (5 + \sqrt{8})$ $sqrt2(5+sqrt8)$ ?

1 Answer

Jan 5, 2017

$\sqrt{2} (5 + \sqrt{8}) = 5 \sqrt{2} + 4$ $sqrt(2)(5+sqrt(8))=color(green)(5sqrt(2)+4)$

Explanation:

$\sqrt{2} (5 + \sqrt{8})$ $sqrt(2)(5+sqrt(8))$
$XXX = \sqrt{2} \cdot 5 + \sqrt{2} \cdot \sqrt{8}$ $color(white)("XXX")=sqrt(2) * 5 + sqrt(2) * sqrt(8)$ (distributive property)

$XXX = 5 \sqrt{2} + \sqrt{16}$ $color(white)("XXX")=5sqrt(2)+sqrt(16)$

$XXX = 5 \sqrt{2} + 4$ $color(white)("XXX")=5sqrt(2)+4$

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