How do you simplify #sqrt(8x^6y^7)?

1 Answer
Nov 16, 2015

Answer:

#2x^3y^3sqrt(2y#

Explanation:

In order to calculate #sqrt(8x^6y^7)#, know that #sqrt(a^2b^2)=ab#.
We can rewrite #sqrt(8x^6y^7)# as #sqrt((2)^2*2*(x^3)^2*(y^3)^2*y)#.
We can take all the terms that are squared out from under the square root, leaving the answer #color(blue)(2x^3y^3sqrt(2y#.