How do you combine the expression 5√8x^3-x√50x?

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Answer 1 · 2018-01-11T20:20:36

#5sqrt(2x^3)#

#5sqrt(8x^3)-xsqrt(50x)#

Bring the #x# on the 2nd term into the square root like so:

#=5sqrt(8x^3)-sqrt(50x*x^2)=5sqrt(8x^3)-sqrt(50x^3)#

Now rewrite the coefficients in front of the #x^3#:

#=5sqrt(4times2x^3)-sqrt(25times2x^3)#

Bring the square numbers out of the square root:

#5times2sqrt(2x^3)-5sqrt(2x^3)#

#10sqrt(2x^3)-5sqrt(2x^3)=5sqrt(2x^3)#