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

The solution to sqrt(((3x))/((2y^3))) is (sqrt(3x))/(sqrt(2)y\sqrt{y)}

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

simplify

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

\frac{3 x}{2 y y}

Solution steps

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

Simplify

2 y^{3} : 2 y y

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

\frac{a}{( a - 1 ) \cdot ( a - 1 ) ^{2} + 1}

9 m^{4} + 14 m^{2} n^{2} + 25 n^{4}

\frac{6 y ^{5} + 4 y ^{3} - 10 y ^{2} + 2 y}{2 y}

sin^{2} (q) + cos^{2} (q)

\frac{( 2 - x )}{( x - 2 )}

What is sqrt(((3x))/((2y^3))) ?
The solution to sqrt(((3x))/((2y^3))) is (sqrt(3x))/(sqrt(2)y\sqrt{y)}