Evaluate
-\frac{272\sqrt{3}}{5}+96\approx 1.776436068
Factor
\frac{16 {(30 - 17 \sqrt{3})}}{5} = 1.7764360682530764
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\frac{288-128\sqrt{3}-144\sqrt{3}+64\left(\sqrt{3}\right)^{2}}{5}
Apply the distributive property by multiplying each term of 16-8\sqrt{3} by each term of 18-8\sqrt{3}.
\frac{288-272\sqrt{3}+64\left(\sqrt{3}\right)^{2}}{5}
Combine -128\sqrt{3} and -144\sqrt{3} to get -272\sqrt{3}.
\frac{288-272\sqrt{3}+64\times 3}{5}
The square of \sqrt{3} is 3.
\frac{288-272\sqrt{3}+192}{5}
Multiply 64 and 3 to get 192.
\frac{480-272\sqrt{3}}{5}
Add 288 and 192 to get 480.
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