Question

Simplify. Assume all variables are positive values

Answer 1

Answer:

10√(w⁵v⁷)

Step-by-step explanation:

√(20wv³) × √(5w⁴v⁴) = √(100w⁵v⁷)

reduce...

10√(w⁵v⁷)

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Answer 2

Answer:

$10w^{2}v^{3} \sqrt{wv}$

Step-by-step explanation:

$\sqrt{20wv^{3} } \sqrt{5w^{4}v^{4} } =\sqrt{(5)(4)wv(v^{2}) } \sqrt{5(w^{2})(w^{2})(v^{2})(v^{2} ) }$

$=(2v\sqrt{5wv} )(w^{2}v^{2} \sqrt{5} )=2w^{2}v^{3} (5)\sqrt{wv}$

$=10w^{2}v^{3} \sqrt{wv}$

Hope this helps