What is (sqrt(64xy^5))/(sqrt(8x)) ?

The solution to (sqrt(64xy^5))/(sqrt(8x)) is 2sqrt(2)y^2sqrt(y)

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simplify (sqrt(64xy^5))/(sqrt(8x))

simplify

\frac{64 x y ^{5}}{8 x}

22 y^{2} y

Solution steps

\frac{64 x y ^{5}}{8 x}

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

\frac{64 x y ^{5}}{8 x} = \frac{64 x y ^{5}}{8 x}

= \frac{64 x y ^{5}}{8 x}

Cancel

\frac{64 x y ^{5}}{8 x} : 8 y^{5}

= 8 y^{5}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

8 y^{5} = 8 y^{5}

= 8 y^{5}

Simplify

y^{5} : y^{2} y

= 8 y^{2} y

8 = 22

= 22 y^{2} y

\frac{a ^{2} - b ^{2}}{b ^{2} + ab} + \frac{a ^{2} - b ^{2}}{a ^{2} - ab}

\frac{sin ^{2} ( x )}{sin ^{2} ( x )}

\frac{60}{150}

\frac{2}{x - 3} - \frac{3}{x + 1}

(3 + \frac{1}{2} i) (4 - \frac{5}{3} i)

What is (sqrt(64xy^5))/(sqrt(8x)) ?
The solution to (sqrt(64xy^5))/(sqrt(8x)) is 2sqrt(2)y^2sqrt(y)