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

The solution to sqrt((3x^2y)/z)sqrt(3yz) is sqrt(3)xsqrt(y)sqrt(3y)

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

simplify

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

3 x y 3 y

Solution steps

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

Simplify

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

= \frac{3 x y}{z} 3 yz

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 x y 3 yz}{z}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

3 yz = z 3 y

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

Cancel the common factor:

z

= 3 x y 3 y

\frac{2}{3} \times \frac{9}{4}

\frac{5 !}{7 !}

- 3 \cdot (- x)

\frac{5 !}{5 !}

\frac{11}{16} + \frac{15}{20}

What is sqrt((3x^2y)/z)sqrt(3yz) ?
The solution to sqrt((3x^2y)/z)sqrt(3yz) is sqrt(3)xsqrt(y)sqrt(3y)