Evaluate
48\sqrt{2}+68\approx 135.882250994
Expand
48 \sqrt{2} + 68 = 135.882250994
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16\left(\sqrt{2}\right)^{2}+48\sqrt{2}+36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4\sqrt{2}+6\right)^{2}.
16\times 2+48\sqrt{2}+36
The square of \sqrt{2} is 2.
32+48\sqrt{2}+36
Multiply 16 and 2 to get 32.
68+48\sqrt{2}
Add 32 and 36 to get 68.
16\left(\sqrt{2}\right)^{2}+48\sqrt{2}+36
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4\sqrt{2}+6\right)^{2}.
16\times 2+48\sqrt{2}+36
The square of \sqrt{2} is 2.
32+48\sqrt{2}+36
Multiply 16 and 2 to get 32.
68+48\sqrt{2}
Add 32 and 36 to get 68.
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