SOLUTION: How do you solve {{{sqrt (a^2 * b^3) * the cube root of (a*b) }}}?

Algebra ->  Square-cubic-other-roots -> SOLUTION: How do you solve {{{sqrt (a^2 * b^3) * the cube root of (a*b) }}}?       Log On


   

Question 283050: How do you solve sqrt+%28a%5E2+%2A+b%5E3%29+%2A+the+cube+root+of+%28a%2Ab%29+?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt a^2*b^3 * cube root of ab
= a*b^3/2 * (ab)^1/3
=a*a^1/3* b^3/2 * b^1/3
=a^(1+1/3) *b^(3/2+1/3)
=a^4/3 * b^11/6
=a^4/3*b^11/3
= cube root of (a^4*b^11)