Evaluate
8-2\sqrt{15}\approx 0.254033308
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8-2\sqrt{15}
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\left(\sqrt{5}\right)^{2}-2\sqrt{5}\sqrt{3}+\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{5}-\sqrt{3}\right)^{2}.
5-2\sqrt{5}\sqrt{3}+\left(\sqrt{3}\right)^{2}
The square of \sqrt{5} is 5.
5-2\sqrt{15}+\left(\sqrt{3}\right)^{2}
To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.
5-2\sqrt{15}+3
The square of \sqrt{3} is 3.
8-2\sqrt{15}
Add 5 and 3 to get 8.
\left(\sqrt{5}\right)^{2}-2\sqrt{5}\sqrt{3}+\left(\sqrt{3}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{5}-\sqrt{3}\right)^{2}.
5-2\sqrt{5}\sqrt{3}+\left(\sqrt{3}\right)^{2}
The square of \sqrt{5} is 5.
5-2\sqrt{15}+\left(\sqrt{3}\right)^{2}
To multiply \sqrt{5} and \sqrt{3}, multiply the numbers under the square root.
5-2\sqrt{15}+3
The square of \sqrt{3} is 3.
8-2\sqrt{15}
Add 5 and 3 to get 8.
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