Question 640008
If the question is supposed to be {{{(9 + sqrt(6))^2}}}, see section 1.
If the question is supposed to be {{{9 + sqrt(6)^2}}}, see section 2.
If the question is supposed to be {{{9 + sqrt(6^2)}}}, see the answer for section 2.

Section 1:

{{{(9 + sqrt(6))^2}}}=
{{{(9 + sqrt(6))(9 + sqrt(6))}}}

Expand this by the FOIL method =

{{{9 * 9 + 9sqrt(6) + 9sqrt(6) + (sqrt(6) * sqrt(6))}}} =

{{{81 + 18sqrt(6) + 6}}} =

{{{87 + 18sqrt(6)}}}

FINAL ANSWER FOR SECTION 1: {{{87 + 18sqrt(6)}}}

Section 2:

{{{9 + sqrt(6)^2}}} =

{{{9 + 6}}} =

{{{15}}}

FINAL ANSWER FOR SECTION 2: {{{15}}}