What is sqrt((8x^3y^5)/(2xy^2)) ?

The solution to sqrt((8x^3y^5)/(2xy^2)) is 2xysqrt(y)

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simplify sqrt((8x^3y^5)/(2xy^2))

simplify

\frac{8 x ^{3} y ^{5}}{2 x y ^{2}}

2 x y y

Solution steps

\frac{8 x ^{3} y ^{5}}{2 x y ^{2}}

Cancel

\frac{8 x ^{3} y ^{5}}{2 x y ^{2}} : 4 x^{2} y^{3}

= 4 x^{2} y^{3}

4 x^{2} y^{3} = 4 x^{2} y^{3}

= 4 x^{2} y^{3}

4 = 2

= 2 x^{2} y^{3}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 2 x y^{3}

Simplify

y^{3} : y y

= 2 x y y

- 3 q + 2 (1 - q) = - 1 q + 0 (1 - q)

3 x^{2} + 10 x \geq - 2 x - 9

\frac{- 2 - 5 i}{3}

16 x^{2} + 40 x + 25

x^{2} + 8 x + 16 = - 9

What is sqrt((8x^3y^5)/(2xy^2)) ?
The solution to sqrt((8x^3y^5)/(2xy^2)) is 2xysqrt(y)