What is sqrt((441u^3)/(12v^8)) ?

The solution to sqrt((441u^3)/(12v^8)) is (7sqrt(3)usqrt(u))/(2v^4)

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simplify sqrt((441u^3)/(12v^8))

simplify

\frac{441 u ^{3}}{12 v ^{8}}

\frac{7 3 u u}{2 v ^{4}}

Solution steps

\frac{441 u ^{3}}{12 v ^{8}}

Cancel

\frac{441 u ^{3}}{12 v ^{8}} : \frac{147 u ^{3}}{4 v ^{8}}

= \frac{147 u ^{3}}{4 v ^{8}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{147 u ^{3}}{4 v ^{8}}

Simplify

147 u^{3} : 73 u u

= \frac{7 3 u u}{4 v ^{8}}

Simplify

4 v^{8} : 2 v^{4}

= \frac{7 3 u u}{2 v ^{4}}

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

(3 x^{\frac{5}{6}}) (8 x^{\frac{2}{3}})

\frac{25 !}{10 ! \cdot ( 25 - 10 ) !}

6 x + 6 = 0

\frac{4 m ^{4} n ^{4}}{2 n m ^{0} \cdot 3 m ^{0}}

What is sqrt((441u^3)/(12v^8)) ?
The solution to sqrt((441u^3)/(12v^8)) is (7sqrt(3)usqrt(u))/(2v^4)