How do you simplify $\sqrt{y^{5}} \cdot (y^{3})$ $sqrt (y^5) * (y^3)$ ?

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Answer 1 · 2015-05-10T12:01:15

$\sqrt{y^{5}} = \sqrt{{(y^{2})}^{2} \cdot y} = y^{2} \sqrt{y}$ $sqrt(y^5) = sqrt((y^2)^2*y) = y^2sqrt(y)$

So
$\sqrt{y^{5}} \cdot (y^{3}) = y^{5} \cdot \sqrt{y}$ $sqrt(y^5)*(y^3) = y^5*sqrt(y)$

or perhaps you would prefer
$\sqrt{y^{11}}$ $sqrt(y^11)$

How do you simplify √y5⋅(y3)sqrt (y^5) * (y^3)?