SOLUTION: Simplify: 2 square root of m^9p^6 - 3m^2p square root of mp^2 I get confused on where to separate the variable powers on what side of the radical sign. ex: 2 square root of m^2p^

Algebra ->  Radicals -> SOLUTION: Simplify: 2 square root of m^9p^6 - 3m^2p square root of mp^2 I get confused on where to separate the variable powers on what side of the radical sign. ex: 2 square root of m^2p^      Log On


   

Question 173349This question is from textbook Intermediate Algebra
: Simplify: 2 square root of m^9p^6 - 3m^2p square root of mp^2
I get confused on where to separate the variable powers on what side of the radical sign. ex: 2 square root of m^2p^2(m^7p^4)-3*this is where I get stumped. This question is from textbook Intermediate Algebra

Found 2 solutions by checkley77, rapaljer:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2 square root of m^9p^6 - 3m^2p square root of mp^2
2sqrt(m^9p^6-3m^2p*sqrtmp^2
2*m^4p3[sqrt(m)]-3m^2p*p[sqrt(m)]
(2m^4p^3-3m^2p^2)(sqrt(m))
(m^2p^2)(2m^2p-3)(sqrt(m)) ans.


Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
I solved this one last night, but before I could get it posted, they pulled the plug on Algebra.com, and I couldn't post it. Here is my solution in addition to the one you already received.
Let's see if I understand your notation here. Did you mean 2+%2Asqrt%28m%5E9p%5E6%29+-+3m%5E2p+%2Asqrt%28mp%5E2%29??
If so, you must simplify the square roots first
2%2Asqrt%28m%5E8p%5E6%29%2Asqrt%28m%29+-+3m%5E2p%2Asqrt%28p%5E2%29%2Asqrt%28m%29+

Simplify the perfect square square roots (divide the exponents by 2!):
2m%5E4p%5E3%2Asqrt%28m%29+-+3m%5E2+%2Ap+%2Ap%2Asqrt%28m%29+
2m%5E4p%5E3%2Asqrt%28m%29+-+3m%5E2p%5E2%2A+sqrt%28m%29+

I don't know if it is necessary, but you can factor this by taking out a common factor of m%5E2p%5E2%2Asqrt%28m%29:
m%5E2p%5E2%2Asqrt%28m%29%2A%282m%5E2p+-3%29++

You may want to get some extra explanation on square roots at my website. Click on my tutor name "Rapaljer" anywhere in algebra.com, and take the first main link on my homepage which is "Basic, Intermediate, and College Algebra: One Step at a Time." Then look for Basic Algebra, Chapter 5. A complete explanation is given there with examples, exercises, and answers. Also, I have a page with solutions to a number of problems that are solved "in LIVING COLOR!!" If you ever want to find my website from the "outside world", then do a Google search for "MATH IN LIVING COLOR". I should be the first link on the Google list.

R^2