SOLUTION: What is the {{{sqrt(24x^9y^7)}}}?

Algebra ->  Radicals -> SOLUTION: What is the {{{sqrt(24x^9y^7)}}}?      Log On


   

Question 685770: What is the sqrt%2824x%5E9y%5E7%29?
Found 2 solutions by stanbon, macp229:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
square root 24x^9y^7
----
Break the radicand into 2 factors where one of them is
composed of perfect square factors.
----
= sqrt[(4x^8y^6)(6xy)]
----
= sqrt(4x^8y^6) * sqrt(6xy)
-----
= 2x^4y^3 * sqrt(6xy)
=========================
Cheers,
Stan H.

Answer by macp229(2) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2824x%5E9y%5E7%29


Pull all perfect square roots out from under the radical. In this case, remove
2x%5E4y%5E3 because it is a perfect square.


2x%5E4y%5E3+%2A+sqrt%286xy%29


Multiply 2x%5E4y%5E3 by sqrt%286xy%29 to get 2x%5E4y%5E3sqrt%286xy%29


So you final answer is: 2x%5E4y%5E3sqrt%286xy%29