What is (sqrt(200x^3y))/(sqrt(2xy^5)) ?

The solution to (sqrt(200x^3y))/(sqrt(2xy^5)) is (10x)/(y^2)

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simplify (sqrt(200x^3y))/(sqrt(2xy^5))

simplify

\frac{200 x ^{3} y}{2 x y ^{5}}

\frac{10 x}{y ^{2}}

Solution steps

\frac{200 x ^{3} y}{2 x y ^{5}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{200 x ^{3} y}{2 x y ^{5}} = \frac{200 x ^{3} y}{2 x y ^{5}}

= \frac{200 x ^{3} y}{2 x y ^{5}}

Cancel

\frac{200 x ^{3} y}{2 x y ^{5}} : \frac{100 x ^{2}}{y ^{4}}

= \frac{100 x ^{2}}{y ^{4}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{100 x ^{2}}{y ^{4}}

Simplify

100 x^{2} : 10 x

= \frac{10 x}{y ^{4}}

Simplify

y^{4} : y^{2}

= \frac{10 x}{y ^{2}}

16 s^{4} + 36 s^{3} b - 10 s^{2} b^{2}

y^{- 4}

18 = 6 x + x (x - 13)

x^{2} - 10 x + 19 = 0

x^{2} - 18 x y + 80 y^{2}

What is (sqrt(200x^3y))/(sqrt(2xy^5)) ?
The solution to (sqrt(200x^3y))/(sqrt(2xy^5)) is (10x)/(y^2)