Evaluate
5\sqrt{3}-3\approx 5.660254038
Factor
5 \sqrt{3} - 3 = 5.660254038
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3-\sqrt{3}+6\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Apply the distributive property by multiplying each term of 1+2\sqrt{3} by each term of 3-\sqrt{3}.
3+5\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Combine -\sqrt{3} and 6\sqrt{3} to get 5\sqrt{3}.
3+5\sqrt{3}-2\times 3
The square of \sqrt{3} is 3.
3+5\sqrt{3}-6
Multiply -2 and 3 to get -6.
-3+5\sqrt{3}
Subtract 6 from 3 to get -3.
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