Question #ab462

1 Answer
May 15, 2017

Answer:

#= 2xsqrt(3xy) +3xsqrt(2y)#

Explanation:

Write each term under a root as the product of its factors, using squares where possible.

#sqrt(12x^3y) -xsqrt(50y) +sqrt(128x^2y)#

#= sqrt(4 xx 3 xx x^2 xx xy) -xsqrt(25xx2y) +sqrt(64 xx2x^2y)#

Find the square roots where possible.

#= 2xsqrt(3xy) -5xcolor(blue)(sqrt(2y)) +8xcolor(blue)(sqrt(2y))#

Add the like terms:

#= 2xsqrt(3xy) +3xsqrt(2y)#