Question 211289
I'm assuming the expression is {{{3*2*sqrt(7)(3+2*sqrt(7))}}}



{{{3*2*sqrt(7)(3+2*sqrt(7))}}} Start with the given expression.



{{{6*sqrt(7)(3+2*sqrt(7))}}} Multiply



{{{6*sqrt(7)*(3)+6*sqrt(7)*(2*sqrt(7))}}} Distribute



{{{6*3*sqrt(7)+6*2*sqrt(7)*sqrt(7)}}} Rearrange the terms.



{{{18*sqrt(7)+12*sqrt(7)*sqrt(7)}}} Multiply



{{{18*sqrt(7)+12*sqrt(7*7)}}} Combine the roots.



{{{18*sqrt(7)+12*sqrt(49)}}} Multiply



{{{18*sqrt(7)+12*7}}} Evaluate the square root of 49 to get 7



{{{18*sqrt(7)+84}}} Multiply



{{{84+18*sqrt(7)}}} Rearrange the terms.



So {{{3*2*sqrt(7)(3+2*sqrt(7))=84+18*sqrt(7)}}}