How do you simplify $50 \sqrt{8}$ $50 sqrt 8$ ?

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How do you simplify $50 \sqrt{8}$ $50 sqrt 8$ ?

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Answer 1 · 2016-03-18T15:34:53

$100 \sqrt{2}$ $100sqrt2$

Explanation:

You have to split the $\sqrt{8}$ $sqrt8$ bit into its prime factors which are $\sqrt{2 \cdot 2 \cdot 2}$ $sqrt(2*2*2)$
So $50 \sqrt{8}$ $50sqrt8$ = $50 \sqrt{2 \cdot 2 \cdot 2}$ $50sqrt(2*2*2)$
but the $\sqrt{2 \cdot 2}$ $sqrt(2*2)$ = 2
and $50 \sqrt{2 \cdot 2 \cdot 2}$ $50sqrt(2*2*2)$ = $50 \cdot 2 (\sqrt{2})$ $50*2(sqrt2)$ = $100 \sqrt{2}$ $100sqrt2$

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How do you simplify $50 \sqrt{8}$ $50 sqrt 8$ ?

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