How do you simplify the expression $4 \sqrt{2} - 6 \sqrt{8}$ $4sqrt2-6sqrt8$ ?

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How do you simplify the expression $4 \sqrt{2} - 6 \sqrt{8}$ $4sqrt2-6sqrt8$ ?

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Answer 1 · 2016-04-02T17:36:45

$= - 8 \sqrt{2}$ $=- 8 sqrt2$

Explanation:

$4 \sqrt{2} - 6 \sqrt{8}$ $4sqrt2 - 6 sqrt8$

We first simplify $\sqrt{8} = \sqrt{2 \cdot 2 \cdot 2} = \sqrt{2^{2} \cdot 2} = 2 \sqrt{2}$ $sqrt (8) = sqrt (2*2*2) = sqrt ( 2^2 *2 )= color(green)(2 sqrt2$

$= 4 \sqrt{2} - 6 \cdot (2 \sqrt{2})$ $=4sqrt2 - 6 * color(green)((2 sqrt2)$

$= 4 \sqrt{2} - 12 \sqrt{2}$ $= 4sqrt2 - 12 sqrt2$

$= - 8 \sqrt{2}$ $=- 8 sqrt2$

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How do you simplify the expression $4 \sqrt{2} - 6 \sqrt{8}$ $4sqrt2-6sqrt8$ ?

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