SOLUTION: Simplify Sqrt[121x^12y^16z^6] Thanks for the help with this. :)

Algebra.Com
Question 178102: Simplify
Sqrt[121x^12y^16z^6]
Thanks for the help with this. :)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Factor into (note: there are 6 terms)


Factor into (note: there are 8 terms)


Factor into (note: there are 3 terms)


Break up the square root using the identity .


Take the square root of to get .


Take the square root of to get .


Take the square root of to get .


Take the square root of to get .


Multiply and simplify.

==================================================

Answer:


So simplifies to


In other words, where every variable is positive.

RELATED QUESTIONS

Simplify: √[121x^12y^16z^6] (answered by jim_thompson5910)
3. Simplify: √[121x^12y^16z^6] I can not figure out the xyz part of this. The (answered by mathchemprofessor)
Hello, I am having trouble with this simplification. I have tried following the... (answered by Nate)
need help to simplify giving the exact answer including a radical. assume x>0. (sqrt... (answered by Fombitz)
Please help, I keep comming up with the same answer for this question. Thanks Perform... (answered by psbhowmick)
the directions are multiply then simplify by factoring: Sqrt 27(x+1)multiplied by sqrt... (answered by ankor@dixie-net.com)
Ok, I am totally confused on how to solve this one with the exponets being so high and... (answered by unlockmath)
Simplify {{{ sqrt( 32 ) + sqrt( 98 ) }}} I need help with this.... (answered by Fombitz)
Hi, Could you pls help me with this question: Simplify completely : {sqrt(24 x^6)} (answered by jim_thompson5910)