How do you simplify √2( √8 - 4 )?

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How do you simplify √2( √8 - 4 )?

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Answer 1 · 2018-04-01T23:10:33

$4 - 4 \sqrt{2}$ $4 - 4sqrt2$

Explanation:

$\sqrt{2} (\sqrt{8} - 4)$ $sqrt2(sqrt8-4)$

To simplify this, we need to use the distributive property.

That means that we multiply the $\sqrt{2}$ $sqrt2$ with everything inside the parenthesis:
$\sqrt{2} \cdot \sqrt{8} = \sqrt{16} = 4$ $sqrt2 * sqrt8 = sqrt16 = 4$

$\sqrt{2} \cdot - 4 = - 4 \sqrt{2}$ $sqrt2 * -4 = -4sqrt2$

So the expression becomes $4 - 4 \sqrt{2}$ $4 - 4sqrt2$ .

Hope this helps!

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How do you simplify √2( √8 - 4 )?

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