How do you simplify $5 \sqrt{80}$ $5sqrt80$ ?

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How do you simplify $5 \sqrt{80}$ $5sqrt80$ ?

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Answer 1 · 2015-06-14T21:17:34

$5 \sqrt{80} = 20 \sqrt{5}$ $5sqrt(80) = 20sqrt(5)$

Explanation:

$5 \sqrt{80} = 5 \sqrt{4^{2} \cdot 5} = 5 \sqrt{4^{2}} \sqrt{5} = 5 \cdot 4 \sqrt{5} = 20 \sqrt{5}$ $5sqrt(80) = 5sqrt(4^2*5) = 5sqrt(4^2)sqrt(5) = 5*4sqrt(5) = 20sqrt(5)$

using identity $\sqrt{a b} = \sqrt{a} \sqrt{b}$ $sqrt(ab) = sqrt(a)sqrt(b)$ (when $a \geq 0$ $a >= 0$ and $b \geq 0$ $b >= 0$ ).

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How do you simplify $5 \sqrt{80}$ $5sqrt80$ ?

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