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

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Answer 1 · 2015-07-07T23:52:29

Simplify the square root according to the explanation.

$\sqrt{x^{3} y^{5}}$ $sqrt(x^3y^5)$ =

Simplify.

$\sqrt{x^{2}} \sqrt{x} \sqrt{y^{4}} \sqrt{y}$ $sqrt(x^2)sqrtxsqrt(y^4)sqrty$ =

Simplify $\sqrt{x^{2}}$ $sqrt(x^2)$ to $x$ $x$ .

$x \sqrt{x} \sqrt{y^{4}} \sqrt{y}$ $xsqrtxsqrt(y^4)sqrty$ =

Simplify $\sqrt{y^{4}}$ $sqrt(y^4)$ to $\sqrt{y^{2}}$ $sqrt(y^2)$ .

$x \sqrt{x} y^{2} \sqrt{y}$ $xsqrtxy^2sqrty$ =

Simplify.

$x y^{2} \sqrt{x y}$ $xy^2sqrt(xy)$

Answer 2 · 2015-07-07T23:53:27

$\sqrt{x^{3} y^{5}} = | x | y^{2} \sqrt{x y}$ $sqrt(x^3y^5) = abs(x)y^2sqrt(xy)$

$\sqrt{x^{3} y^{5}}$ $sqrt(x^3y^5)$
$XXXX$ $color(white)("XXXX")$ $= \sqrt{x^{3}} \cdot \sqrt{y^{5}}$ $=sqrt(x^3)*sqrt(y^5)$

$XXXX$ $color(white)("XXXX")$ $= \sqrt{x^{2} \cdot x} \cdot \sqrt{{(y^{2})}^{2} \cdot y}$ $=sqrt(x^2*x)*sqrt((y^2)^2*y)$

$XXXX$ $color(white)("XXXX")$ $= \sqrt{x^{2}} \cdot \sqrt{x} \cdot \sqrt{{(y^{2})}^{2}} \cdot \sqrt{y}$ $=sqrt(x^2)*sqrt(x)*sqrt((y^2)^2)*sqrt(y)$

$XXXX$ $color(white)("XXXX")$ $= | x | \sqrt{x} \cdot y^{2} \sqrt{y}$ $=abs(x)sqrt(x)*y^2sqrt(y)$

$XXXX$ $color(white)("XXXX")$ $= | x | y^{2} \sqrt{x y}$ $=abs(x)y^2sqrt(xy)$

How do you simplify √x3y5sqrt(x^3y^5)?