How do you simplify $- 4 \sqrt{72}$ $-4sqrt72$ ?

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Answer 1 · 2015-10-27T05:30:16

$- 4 \sqrt{72} = - 24 \sqrt{2}$ $-4sqrt 72=-24sqrt 2$

$- 4 \sqrt{72}$ $-4sqrt 72$

Simplify.;

$- 4 \sqrt{8} \sqrt{9}$ $-4sqrt8sqrt9$

Write the prime factors for $8$ $8$ and $9$ $9$ .

$- 4 \sqrt{2 \times 2 \times 2} \sqrt{3 \times 3}$ $-4sqrt(2xx2xx2)sqrt(3xx3)$

Simplify.

$- 4 \sqrt{2^{2} \times 2} \sqrt{3^{2}}$ $-4sqrt(2^2xx2)sqrt(3^2)$

Apply square root rule $\sqrt{4^{2}} = 4$ $sqrt(4^2)=4$ .

$- 4 \times 2 \times 3 \sqrt{2} =$ $-4xx2xx3sqrt2=$

$- 24 \sqrt{2}$ $-24sqrt 2$

How do you simplify −4√72-4sqrt72?