How do you simplify $\sqrt{2} (3 + 3 \sqrt{2})$ $sqrt2(3+3sqrt2)$ ?

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How do you simplify $\sqrt{2} (3 + 3 \sqrt{2})$ $sqrt2(3+3sqrt2)$ ?

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Answer 1 · 2015-07-05T13:23:15

$\sqrt{2} (3 + 3 \sqrt{2}) = 3 \sqrt{2} + 6$ $sqrt(2)(3+3sqrt(2)) = 3sqrt(2) +6$

Explanation:

$\sqrt{2} (3 + 3 \sqrt{2})$ $color(red)(sqrt(2))(color(blue)(3 + 3 sqrt(2)))$
$XXXX$ $color(white)("XXXX")$ using the distributive property:
$= (\sqrt{2} \cdot 3) + (\sqrt{2} \cdot 3 \sqrt{2})$ $=(color(red)(sqrt(2) * color(blue)(3)))+(color(red)(sqrt(2))*color(blue)(3sqrt(2)))$
$XXXX$ $color(white)("XXXX")$ multiplying each term
$= (3 \sqrt{2}) + (3 {\sqrt{2}}^{2})$ $= (3sqrt(2)) + (3sqrt(2)^2)$

$= 3 \sqrt{2} + 6$ $= 3 sqrt(2) + 6$

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How do you simplify $\sqrt{2} (3 + 3 \sqrt{2})$ $sqrt2(3+3sqrt2)$ ?

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How do you simplify √2(3+3√2)sqrt2(3+3sqrt2)?

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How do you simplify $\sqrt{2} (3 + 3 \sqrt{2})$ $sqrt2(3+3sqrt2)$ ?