What is (sqrt(xy))/x ?

The solution to (sqrt(xy))/x is (sqrt(y))/(sqrt(x))

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simplify (sqrt(xy))/x

simplify

\frac{x y}{x}

\frac{y}{x}

Solution steps

\frac{x y}{x}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x y = x y

= \frac{x y}{x}

Apply radical rule:

a = a a

x = x x

= \frac{x y}{x x}

Cancel the common factor:

x

= \frac{y}{x}

\frac{2}{5} \cdot 35

0.64 m^{3} n^{3} - 0.8 m^{4} n^{2} + 0.16 m^{2} n^{4}

(2 x^{2} + 5 y^{2})^{2}