What is sqrt((75a)/(54zy^3)) ?

The solution to sqrt((75a)/(54zy^3)) is (5sqrt(a))/(3sqrt(2)y\sqrt{z)sqrt(y)}

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simplify sqrt((75a)/(54zy^3))

simplify

\frac{75 a}{54 z y ^{3}}

\frac{5 a}{3 2 y z y}

Solution steps

\frac{75 a}{54 z y ^{3}}

Cancel

\frac{75 a}{54 z y ^{3}} : \frac{25 a}{18 z y ^{3}}

= \frac{25 a}{18 z y ^{3}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{25 a}{18 z y ^{3}}

Simplify

25 a : 5 a

= \frac{5 a}{18 z y ^{3}}

Simplify

18 z y^{3} : 32 y z y

= \frac{5 a}{3 2 y z y}

- \frac{8}{3} + 8

\frac{9}{16} a^{4} + a^{3} + \frac{4}{9} a^{2}

22 \cdot 4

f (g (2))

(x - 2)^{2} (x - 1)

What is sqrt((75a)/(54zy^3)) ?
The solution to sqrt((75a)/(54zy^3)) is (5sqrt(a))/(3sqrt(2)y\sqrt{z)sqrt(y)}