Evaluate
144-72\sqrt{3}\approx 19.292341855
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144-72\sqrt{3}
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\left(6\sqrt{3}-6\right)^{2}
Use the distributive property to multiply 6 by \sqrt{3}-1.
36\left(\sqrt{3}\right)^{2}-72\sqrt{3}+36
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6\sqrt{3}-6\right)^{2}.
36\times 3-72\sqrt{3}+36
The square of \sqrt{3} is 3.
108-72\sqrt{3}+36
Multiply 36 and 3 to get 108.
144-72\sqrt{3}
Add 108 and 36 to get 144.
\left(6\sqrt{3}-6\right)^{2}
Use the distributive property to multiply 6 by \sqrt{3}-1.
36\left(\sqrt{3}\right)^{2}-72\sqrt{3}+36
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(6\sqrt{3}-6\right)^{2}.
36\times 3-72\sqrt{3}+36
The square of \sqrt{3} is 3.
108-72\sqrt{3}+36
Multiply 36 and 3 to get 108.
144-72\sqrt{3}
Add 108 and 36 to get 144.
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