What is sqrt((384u^5v)/(242u^2v^{13))} ?

The solution to sqrt((384u^5v)/(242u^2v^{13))} is (8sqrt(3)usqrt(u))/(11v^6)

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simplify sqrt((384u^5v)/(242u^2v^{13))}

simplify

\frac{384 u ^{5} v}{242 u ^{2} v ^{13}}

\frac{8 3 u u}{11 v ^{6}}

Solution steps

\frac{384 u ^{5} v}{242 u ^{2} v ^{13}}

Cancel

\frac{384 u ^{5} v}{242 u ^{2} v ^{13}} : \frac{192 u ^{3}}{121 v ^{12}}

= \frac{192 u ^{3}}{121 v ^{12}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{192 u ^{3}}{121 v ^{12}}

Simplify

192 u^{3} : 83 u u

= \frac{8 3 u u}{121 v ^{12}}

Simplify

121 v^{12} : 11 v^{6}

= \frac{8 3 u u}{11 v ^{6}}

5 x^{2} - 2 x - 5 = 0

7 x - 3 \leq 25

- 5 x^{2} + 120 x - 400 = 0

x + 1 = - x - 1

(x + 2)^{2} = 14

What is sqrt((384u^5v)/(242u^2v^{13))} ?
The solution to sqrt((384u^5v)/(242u^2v^{13))} is (8sqrt(3)usqrt(u))/(11v^6)