How do you simplify #7xsqrt(5xy^2)-sqrt(20x^3y^4)#?

1 Answer
Nov 7, 2015

Answer:

#7xysqrt(5x)-2xy^2sqrt(5x)#

Explanation:

#7xsqrt(5xy^2)-sqrt(20x^3y^4)#

Apply the square root rule #sqrt(a^2)=a# to #7xsqrt(5xy^2)#.

#7xysqrt(5x)-sqrt(20x^3y^4)#

Factor #sqrt(20x^3y^4)#.

#7xysqrt(5x)-sqrt(2*2*5*x*x*x*y*y*y*y)#

Pair like terms.

#7xysqrt(5x)-sqrt(5x(2*2)(x*x)(y*y)(y*y))#

Simplify.

#7xysqrt(5x)-sqrt(5x*2^2*x^2*y^2*y^2)#

Apply the square root rule #sqrt(a^2)=a#.

#7xysqrt(5x)-2*x*y*ysqrt(5x)#

Simplify.

#7xysqrt(5x)-2xy^2sqrt(5x)#