Evaluate
12\sqrt{5}+29\approx 55.83281573
Expand
12 \sqrt{5} + 29 = 55.83281573
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9+12\sqrt{5}+4\left(\sqrt{5}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+2\sqrt{5}\right)^{2}.
9+12\sqrt{5}+4\times 5
The square of \sqrt{5} is 5.
9+12\sqrt{5}+20
Multiply 4 and 5 to get 20.
29+12\sqrt{5}
Add 9 and 20 to get 29.
9+12\sqrt{5}+4\left(\sqrt{5}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+2\sqrt{5}\right)^{2}.
9+12\sqrt{5}+4\times 5
The square of \sqrt{5} is 5.
9+12\sqrt{5}+20
Multiply 4 and 5 to get 20.
29+12\sqrt{5}
Add 9 and 20 to get 29.
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Limits
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