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9\left(\sqrt{5}\right)^{2}+6\sqrt{5}+24\sqrt{5}+16
Apply the distributive property by multiplying each term of 3\sqrt{5}+8 by each term of 3\sqrt{5}+2.
9\times 5+6\sqrt{5}+24\sqrt{5}+16
The square of \sqrt{5} is 5.
45+6\sqrt{5}+24\sqrt{5}+16
Multiply 9 and 5 to get 45.
45+30\sqrt{5}+16
Combine 6\sqrt{5} and 24\sqrt{5} to get 30\sqrt{5}.
61+30\sqrt{5}
Add 45 and 16 to get 61.