Evaluate
19-5\sqrt{13}\approx 0.972243623
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6-3\sqrt{13}-2\sqrt{13}+\left(\sqrt{13}\right)^{2}
Apply the distributive property by multiplying each term of 3-\sqrt{13} by each term of 2-\sqrt{13}.
6-5\sqrt{13}+\left(\sqrt{13}\right)^{2}
Combine -3\sqrt{13} and -2\sqrt{13} to get -5\sqrt{13}.
6-5\sqrt{13}+13
The square of \sqrt{13} is 13.
19-5\sqrt{13}
Add 6 and 13 to get 19.
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