Evaluate
40\sqrt{2}+66\approx 122.568542495
Expand
40 \sqrt{2} + 66 = 122.568542495
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25\left(\sqrt{2}\right)^{2}+40\sqrt{2}+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5\sqrt{2}+4\right)^{2}.
25\times 2+40\sqrt{2}+16
The square of \sqrt{2} is 2.
50+40\sqrt{2}+16
Multiply 25 and 2 to get 50.
66+40\sqrt{2}
Add 50 and 16 to get 66.
25\left(\sqrt{2}\right)^{2}+40\sqrt{2}+16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5\sqrt{2}+4\right)^{2}.
25\times 2+40\sqrt{2}+16
The square of \sqrt{2} is 2.
50+40\sqrt{2}+16
Multiply 25 and 2 to get 50.
66+40\sqrt{2}
Add 50 and 16 to get 66.
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Limits
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