Evaluate
\left(x+\sqrt{13}\right)^{2}
Expand
x^{2}+2\sqrt{13}x+13
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\left(\sqrt{13}\right)^{2}+2\sqrt{13}x+x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{13}+x\right)^{2}.
13+2\sqrt{13}x+x^{2}
The square of \sqrt{13} is 13.
\left(\sqrt{13}\right)^{2}+2\sqrt{13}x+x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(\sqrt{13}+x\right)^{2}.
13+2\sqrt{13}x+x^{2}
The square of \sqrt{13} is 13.
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