Evaluate
70-24\sqrt{6}\approx 11.212246173
Expand
70-24\sqrt{6}
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9\left(\sqrt{6}\right)^{2}-24\sqrt{6}+16
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3\sqrt{6}-4\right)^{2}.
9\times 6-24\sqrt{6}+16
The square of \sqrt{6} is 6.
54-24\sqrt{6}+16
Multiply 9 and 6 to get 54.
70-24\sqrt{6}
Add 54 and 16 to get 70.
9\left(\sqrt{6}\right)^{2}-24\sqrt{6}+16
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3\sqrt{6}-4\right)^{2}.
9\times 6-24\sqrt{6}+16
The square of \sqrt{6} is 6.
54-24\sqrt{6}+16
Multiply 9 and 6 to get 54.
70-24\sqrt{6}
Add 54 and 16 to get 70.
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