How do you divide $\frac{16 \sqrt{40}}{4 \sqrt{5}}$ $(16sqrt40)/(4sqrt5)$ ?

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Answer 1 · 2015-04-02T13:33:06

$(\frac{16}{4}) \cdot (\frac{\sqrt{40}}{\sqrt{5}}) =$ $(16/4)*(sqrt(40)/sqrt(5)) =$

$4 \cdot \frac{\sqrt{8 \cdot 5}}{\sqrt{5}} =$ $4 * sqrt(8*5)/sqrt(5) =$

$4 \cdot \frac{\sqrt{8} \cdot \sqrt{5}}{\sqrt{5}} =$ $4 * (sqrt(8) * sqrt(5))/sqrt(5) =$

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

$4 \cdot 2 \cdot \sqrt{2} = 8 \sqrt{2}$ $4 * 2 * sqrt(2) = 8sqrt(2)$

How do you divide (16sqrt40)/(4sqrt5)16√404√5(16sqrt40)/(4sqrt5)?