How do you simplify $\sqrt{2 u^{3} w^{2}} \cdot \sqrt{10 u^{6} w^{4}}$ $sqrt(2u^3 w^2)*sqrt(10u^6 w^4)$ ?

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Answer 1 · 2018-06-07T21:09:43

$2 u^{4} w^{3} \sqrt{5 u}$ $2u^4w^3sqrt(5u)$

$= \sqrt{2 u^{3} w^{2}} \cdot \sqrt{10 u^{6} w^{4}}$ $=sqrt(2u^3 w^2)*sqrt(10u^6 w^4)$

$= \sqrt{2 u^{3} w^{2} \cdot 10 u^{6} w^{4}}$ $=sqrt(2u^3 w^2*10u^6 w^4)$

$= \sqrt{20 u^{9} w^{6}}$ $=sqrt(20u^9 w^6)$

$= 2 u^{4} w^{3} \sqrt{5 u}$ $=2u^4w^3sqrt(5u)$

How do you simplify √2u3w2⋅√10u6w4sqrt(2u^3 w^2)*sqrt(10u^6 w^4)?