What is (sqrt(9x^2))/(sqrt(5x)) ?

The solution to (sqrt(9x^2))/(sqrt(5x)) is (3sqrt(x))/(sqrt(5))

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simplify (sqrt(9x^2))/(sqrt(5x))

simplify

\frac{9 x ^{2}}{5 x}

\frac{3 x}{5}

Solution steps

\frac{9 x ^{2}}{5 x}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{9 x ^{2}}{5 x} = \frac{9 x ^{2}}{5 x}

= \frac{9 x ^{2}}{5 x}

Cancel

\frac{9 x ^{2}}{5 x} : \frac{9 x}{5}

= \frac{9 x}{5}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{9 x}{5}

Simplify

9 x : 3 x

= \frac{3 x}{5}

sin^{2} (x) \cdot sin^{2} (x)

2 \cdot 3^{10}

- lo g_{2} (4)

\frac{4}{x ^{0} + 7}

\frac{b ^{2} - 10 b + 25}{b ^{2} - 6 b + 5}

What is (sqrt(9x^2))/(sqrt(5x)) ?
The solution to (sqrt(9x^2))/(sqrt(5x)) is (3sqrt(x))/(sqrt(5))