What is sqrt(245u^{11)v^{13}w^{15}} ?

The solution to sqrt(245u^{11)v^{13}w^{15}} is 7sqrt(5)u^5v^6w^7sqrt(u)sqrt(v)sqrt(w)

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simplify sqrt(245u^{11)v^{13}w^{15}}

simplify

245 u^{11} v^{13} w^{15}

75 u^{5} v^{6} w^{7} u v w

Solution steps

245 u^{11} v^{13} w^{15}

245 u^{11} v^{13} w^{15} = 245 u^{11} v^{13} w^{15}

= 245 u^{11} v^{13} w^{15}

Simplify

u^{11} : u^{5} u

= 245 u^{5} u v^{13} w^{15}

Simplify

v^{13} : v^{6} v

= 245 u^{5} u v^{6} v w^{15}

Simplify

w^{15} : w^{7} w

= 245 u^{5} u v^{6} v w^{7} w

245 = 5 \cdot 7

= 5 \cdot 7 u^{5} u v^{6} v w^{7} w

= 75 u^{5} v^{6} w^{7} u v w

\frac{2}{5} + \frac{5}{2}

(9 x - 4)^{2}

\frac{2646}{9}

\frac{55}{66}

2 + 2 - 52

What is sqrt(245u^{11)v^{13}w^{15}} ?
The solution to sqrt(245u^{11)v^{13}w^{15}} is 7sqrt(5)u^5v^6w^7sqrt(u)sqrt(v)sqrt(w)