How do you simplify #(sqrt(6x^2) + 4sqrt(8x^3))(sqrt(9x)-xsqrt(5x^5))#?

1 Answer
Anjali G
Mar 30, 2017

#(sqrt(6x^2)+4sqrt(8x^3))(sqrt(9x)-xsqrt(5x^5))#

FOIL:
#=sqrt(9*6*x^3)-xsqrt(6*5*x^7)+4sqrt(9*4*2*x^4)-4xsqrt(5*8*x^8)#

#=(3sqrt6) x^(3/2)-(sqrt30)*x*x^(7/2)+(24sqrt2)x^(4/2)-(8sqrt10)*x*x^(8/2)#

#=3sqrt6x^(3/2)-sqrt30x^(9/2)+24sqrt2x^2-8sqrt10x^5#

#=sqrt2(3sqrt3x^(3/2)-sqrt15x^(9/2)+24x^2-8sqrt5x^5)#

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