SOLUTION: square root of 294 x with an exponent of 3 for the x and y with an exponent of 5. please simplify. thanks so much.

Algebra ->  Square-cubic-other-roots -> SOLUTION: square root of 294 x with an exponent of 3 for the x and y with an exponent of 5. please simplify. thanks so much.      Log On


   



Question 35373This question is from textbook Elementary Algebra
: square root of 294 x with an exponent of 3 for the x and y with an exponent of 5.
please simplify.
thanks so much.
This question is from textbook Elementary Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(294 x^3y^5)
Break the radicand up into two parts.
Let the 1st part be 49x^2y^4
because that is a perfect square.
Then the other part is 2xy because that is
the other factor of 294x^3y^5.
You now have [sqrt(49x^2y^4)][sqrt 6xy]
=7xy^2{sqrt6xy}
Cheers,
Stan H.