What is sqrt(3m^2)*sqrt(6m^{-3)} ?

The solution to sqrt(3m^2)*sqrt(6m^{-3)} is (3sqrt(2))/(sqrt(m))

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simplify sqrt(3m^2)*sqrt(6m^{-3)}

simplify

3 m^{2} \cdot 6 m^{- 3}

\frac{3 2}{m}

Solution steps

3 m^{2} 6 m^{- 3}

Simplify

3 m^{2} : 3 m

= 3 m 6 m^{- 3}

Simplify

6 m^{- 3} : 6 \frac{1}{m m}

= 3 m 6 \frac{1}{m m}

6 = 32

= 3 m 32 \frac{1}{m m}

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 3 m 2 \frac{1}{m m}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 m 2 \cdot 1}{m m}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3 m 2}{m m}

Cancel the common factor:

m

= \frac{3 2}{m}

(y^{8}) (- 2 y^{2})

(4 a + 5 b^{2})^{2}

9 \times \frac{2}{3}

\frac{4 x ^{2}}{2 x ^{\frac{1}{2}}}

What is sqrt(3m^2)*sqrt(6m^{-3)} ?
The solution to sqrt(3m^2)*sqrt(6m^{-3)} is (3sqrt(2))/(sqrt(m))