SOLUTION: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. {{{sqrt(77xy^3)/sqrt(7x)}}}

Algebra ->  Radicals -> SOLUTION: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers. {{{sqrt(77xy^3)/sqrt(7x)}}}       Log On


   



Question 434039: Divide. Then simplify by taking roots, if possible. Assume that all expressions under radicals represent positive numbers.
sqrt%2877xy%5E3%29%2Fsqrt%287x%29








Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2877xy%5E3%29%2Fsqrt%287x%29

First write it all as one square root:

sqrt%28%2877xy%5E3%29%2F%287x%29%29


 7 goes into 77 11 times, and the x's cancel.
So we are left with

sqrt%2811y%5E3%29

Write y%5E3 as y%5E2%2Ay%5E1 or y%5E2%2Ay

sqrt%2811y%5E2%2Ay%29

Take y%5E2 out in front of the radical as just y

y%2Asqrt%2811y%29

Edwin