What is (sqrt(75x^5))/(12xy^2) ?

The solution to (sqrt(75x^5))/(12xy^2) is (5xsqrt(x))/(4sqrt(3)y^2)

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simplify (sqrt(75x^5))/(12xy^2)

simplify

\frac{75 x ^{5}}{12 x y ^{2}}

\frac{5 x x}{4 3 y ^{2}}

Solution steps

\frac{75 x ^{5}}{12 x y ^{2}}

Simplify

75 x^{5} : x^{2} x 75

= \frac{x ^{2} x 75}{12 x y ^{2}}

Simplify

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

= \frac{x x 75}{12 y ^{2}}

Factor the number:

12 = 3 \cdot 4

= \frac{x x 75}{3 \cdot 4 y ^{2}}

Factor

75 : 3 \cdot 5

= \frac{x x 3 \cdot 5}{3 \cdot 4 y ^{2}}

Apply radical rule:

a = a a

3 = 33

= \frac{x x 3 \cdot 5}{3 3 \cdot 4 y ^{2}}

Cancel the common factor:

3

= \frac{x x \cdot 5}{3 \cdot 4 y ^{2}}

= \frac{5 x x}{4 3 y ^{2}}

\frac{a + b}{b}

\frac{4 x y ^{4}}{2 x ^{6} y ^{2}}

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

\frac{15}{18}

lo g_{9} (64)

What is (sqrt(75x^5))/(12xy^2) ?
The solution to (sqrt(75x^5))/(12xy^2) is (5xsqrt(x))/(4sqrt(3)y^2)