What is (sqrt(18x^2y))/(sqrt(2y^3)) ?

The solution to (sqrt(18x^2y))/(sqrt(2y^3)) is (3x)/y

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simplify (sqrt(18x^2y))/(sqrt(2y^3))

simplify

\frac{18 x ^{2} y}{2 y ^{3}}

\frac{3 x}{y}

Solution steps

\frac{18 x ^{2} y}{2 y ^{3}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{18 x ^{2} y}{2 y ^{3}} = \frac{18 x ^{2} y}{2 y ^{3}}

= \frac{18 x ^{2} y}{2 y ^{3}}

Cancel

\frac{18 x ^{2} y}{2 y ^{3}} : \frac{9 x ^{2}}{y ^{2}}

= \frac{9 x ^{2}}{y ^{2}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{9 x ^{2}}{y ^{2}}

Simplify

9 x^{2} : 3 x

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= \frac{3 x}{y}

f = - 2 (- 2) - 3

x^{2} + 15 x + 26

- 3 u - 14 > 3 u + 16

- 5 a - 12 < - 18

\frac{5}{3} + \frac{2}{5}

What is (sqrt(18x^2y))/(sqrt(2y^3)) ?
The solution to (sqrt(18x^2y))/(sqrt(2y^3)) is (3x)/y