Question 118064
{{{sqrt(13)*sqrt(5)}}} Start with the given expression


{{{sqrt(13*5)}}} Combine the roots using the identity {{{sqrt(x)*sqrt(y)=sqrt(x*y)}}}



{{{sqrt(65)}}} Multiply 13 and 5 to get 65



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



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



{{{2*sqrt(3*7) + 3*sqrt(7*7)}}} Combine the roots using the identity {{{sqrt(x)*sqrt(y)=sqrt(x*y)}}}



{{{2*sqrt(21) + 3*sqrt(49)}}} Multiply



{{{2*sqrt(21) + 3*7}}} Take the square root of 49 to get 7



{{{2*sqrt(21) + 21}}} Multiply