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

The solution to (sqrt((x^2)/y))/(sqrt(x/y)) is sqrt(x)

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

simplify

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

x

Solution steps

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

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

Cancel

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

= x

\frac{1}{3} (7^{2} + 1)^{- \frac{2}{3}} \cdot 4

(e^{- 7})^{\frac{6}{7}}

- (2)^{3} (4 - 22)

What is (sqrt((x^2)/y))/(sqrt(x/y)) ?
The solution to (sqrt((x^2)/y))/(sqrt(x/y)) is sqrt(x)