SOLUTION: simplify: 4sqrt81*x^6*y^8 I hope I wrote that right! It's 4square root 81x to the 6th y to the 8th. Thanks so much!!!! Carolyn:):)

Algebra ->  Square-cubic-other-roots -> SOLUTION: simplify: 4sqrt81*x^6*y^8 I hope I wrote that right! It's 4square root 81x to the 6th y to the 8th. Thanks so much!!!! Carolyn:):)      Log On


   

Question 50644: simplify: 4sqrt81*x^6*y^8
I hope I wrote that right! It's 4square root 81x to the 6th y to the 8th.
Thanks so much!!!!
Carolyn:):)
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Are you sure it is 4 times the square root of this quantity? Without seeing the problem written, my guess is that you mean the 4th root of this quantity.

This is the difference:
4 times the square root: 4%2A+sqrt%2881x%5E6%2Ay%5E8%29+
Fourth root of quantity: root%284%2C+81x%5E6%2Ay%5E8%29

The square root is easiest so I'll do what you asked:

First, you will have to know that 81 is a perfect square (9^2=81), and when you take square roots of variables raised to a power, you must divide the exponents by 2. Now,

4%2A+sqrt%2881x%5E6%2Ay%5E8%29+
+4%2A9x%5E3%2Ay%5E4
+36x%5E3%2Ay%5E4

R^2 at SCC