What is sqrt((45az^3)/(40y)) ?

The solution to sqrt((45az^3)/(40y)) is (3zsqrt(a)sqrt(z))/(2sqrt(2)\sqrt{y)}

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simplify sqrt((45az^3)/(40y))

simplify

\frac{45 a z ^{3}}{40 y}

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

Solution steps

\frac{45 a z ^{3}}{40 y}

Cancel

\frac{45 a z ^{3}}{40 y} : \frac{9 a z ^{3}}{8 y}

= \frac{9 a z ^{3}}{8 y}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{9 a z ^{3}}{8 y}

Simplify

9 a z^{3} : 3 z a z

= \frac{3 z a z}{8 y}

Simplify

8 y : 22 y

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

(4)^{2} + (6)^{2}

2^{3} \cdot 2^{6}

81 r^{2} t^{4}

(\frac{1}{1 + c e ^{- x}})^{2}

(9 x - 1)^{2}

What is sqrt((45az^3)/(40y)) ?
The solution to sqrt((45az^3)/(40y)) is (3zsqrt(a)sqrt(z))/(2sqrt(2)\sqrt{y)}