Question 176012
{{{sqrt(6x)*(sqrt(x)-8*sqrt(6))}}} Start with the given expression.



{{{sqrt(6x)*sqrt(x)-sqrt(6x)*(8*sqrt(6))}}} Distribute



{{{sqrt(6x^2)-sqrt(6x)*(8*sqrt(6))}}} Multiply {{{sqrt(6x)*sqrt(x)}}} to get {{{sqrt(6x)*sqrt(x)=sqrt(6x*x)=sqrt(6x^2)}}}




{{{sqrt(6x^2)-8*sqrt(36x)}}} Multiply {{{sqrt(6x)*(8*sqrt(6))}}} to get {{{sqrt(6x)*(8*sqrt(6))=8*sqrt(6x)*sqrt(6)=8*sqrt(6x*6)=8*sqrt(36x)}}}




{{{x*sqrt(6)-8*sqrt(36x)}}} Simplify {{{sqrt(6x^2)}}} to get {{{sqrt(6x^2)=sqrt(6)*sqrt(x^2)=x*sqrt(6)}}}



{{{x*sqrt(6)-8*6*sqrt(x)}}} Simplify {{{sqrt(36x)}}} to get {{{sqrt(36x)=sqrt(36)*sqrt(x)=6*sqrt(x)}}}



{{{x*sqrt(6)-48*sqrt(x)}}} Multiply



So {{{sqrt(6x)*(sqrt(x)-8*sqrt(6))=x*sqrt(6)-48*sqrt(x)}}} if {{{x>=0}}}