What is sqrt(1/(3x^3y)) ?

The solution to sqrt(1/(3x^3y)) is 1/(sqrt(3)x\sqrt{x)sqrt(y)}

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simplify sqrt(1/(3x^3y))

simplify

\frac{1}{3 x ^{3} y}

\frac{1}{3 x x y}

Solution steps

\frac{1}{3 x ^{3} y}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{1}{3 x ^{3} y}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{3 x ^{3} y}

Simplify

3 x^{3} y : 3 x x y

= \frac{1}{3 x x y}

3 (x^{2} y)^{3} \cdot (\frac{2}{x})^{2}

\frac{1}{2} + \frac{3}{4} + 2

\frac{1}{3} + \frac{1}{6} + \frac{1}{9}

(2 x + 3) (x - 3)

\frac{75}{25}

What is sqrt(1/(3x^3y)) ?
The solution to sqrt(1/(3x^3y)) is 1/(sqrt(3)x\sqrt{x)sqrt(y)}