Evaluate
13-2\sqrt{30}\approx 2.04554885
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13-2\sqrt{30}
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\left(\sqrt{3}\right)^{2}-2\sqrt{3}\sqrt{10}+\left(\sqrt{10}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{3}-\sqrt{10}\right)^{2}.
3-2\sqrt{3}\sqrt{10}+\left(\sqrt{10}\right)^{2}
The square of \sqrt{3} is 3.
3-2\sqrt{30}+\left(\sqrt{10}\right)^{2}
To multiply \sqrt{3} and \sqrt{10}, multiply the numbers under the square root.
3-2\sqrt{30}+10
The square of \sqrt{10} is 10.
13-2\sqrt{30}
Add 3 and 10 to get 13.
\left(\sqrt{3}\right)^{2}-2\sqrt{3}\sqrt{10}+\left(\sqrt{10}\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\sqrt{3}-\sqrt{10}\right)^{2}.
3-2\sqrt{3}\sqrt{10}+\left(\sqrt{10}\right)^{2}
The square of \sqrt{3} is 3.
3-2\sqrt{30}+\left(\sqrt{10}\right)^{2}
To multiply \sqrt{3} and \sqrt{10}, multiply the numbers under the square root.
3-2\sqrt{30}+10
The square of \sqrt{10} is 10.
13-2\sqrt{30}
Add 3 and 10 to get 13.
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