SOLUTION: Hi, I'm having trouble with this problem. Do you think you could help me? {{{ sqrt 6x^3 * sqrt 150x^2 }}}

Algebra ->  Radicals -> SOLUTION: Hi, I'm having trouble with this problem. Do you think you could help me? {{{ sqrt 6x^3 * sqrt 150x^2 }}}      Log On


   

Question 37745This question is from textbook
: Hi, I'm having trouble with this problem. Do you think you could help me?
+sqrt+6x%5E3++%2A++sqrt+150x%5E2+ This question is from textbook

Answer by junior403(76) About Me  (Show Source):
You can put this solution on YOUR website!
We first need to use the product rule for radical expressions to combine the terms.
So, because these expressions are contained by the same root symbol...
%28sqrt+%286x%5E3%29%29%28sqrt+%28150x%5E2%29%29
Can be combined as...
%28sqrt+%286x%5E3%2A150x%5E2%29%29
Then...
%28sqrt+%28900x%5E5%29%29
The square root of 900 is 30 and the x^5 can be simplified as...
%28x%5E2%2Asqrt+%2830x%29%29
And thats pretty much it.
I hope this helps.
Good Luck!