Evaluate
3\left(5\sqrt{5}+11\right)\approx 66.541019662
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\left(3\sqrt{5}+9\right)\left(\sqrt{5}+2\right)
Use the distributive property to multiply 3 by \sqrt{5}+3.
3\left(\sqrt{5}\right)^{2}+6\sqrt{5}+9\sqrt{5}+18
Apply the distributive property by multiplying each term of 3\sqrt{5}+9 by each term of \sqrt{5}+2.
3\times 5+6\sqrt{5}+9\sqrt{5}+18
The square of \sqrt{5} is 5.
15+6\sqrt{5}+9\sqrt{5}+18
Multiply 3 and 5 to get 15.
15+15\sqrt{5}+18
Combine 6\sqrt{5} and 9\sqrt{5} to get 15\sqrt{5}.
33+15\sqrt{5}
Add 15 and 18 to get 33.
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