What is (15x^2)/(5sqrt(x)) ?

The solution to (15x^2)/(5sqrt(x)) is 3xsqrt(x)

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simplify (15x^2)/(5sqrt(x))

simplify

\frac{15 x ^{2}}{5 x}

3 x x

Solution steps

\frac{15 x ^{2}}{5 x}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3 x ^{2}}{5 x}

Cancel the common factor:

5

= \frac{3 x ^{2}}{x}

Apply radical rule:

a = a^{\frac{1}{2}}

x = x^{\frac{1}{2}}

= \frac{3 x ^{2}}{x ^{\frac{1}{2}}}

Simplify

\frac{x ^{2}}{x ^{\frac{1}{2}}} : x x

= 3 x x

- 2 (x + 4)

3 7 x

\frac{40}{6}

- 7 x^{- 2}

9 (- 4)