Evaluate
10\left(\sqrt{15685}+1571\right)\approx 16962.397700413
Expand
10 \sqrt{15685} + 15710 = 16962.397700413
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25+10\sqrt{15685}+\left(\sqrt{15685}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+\sqrt{15685}\right)^{2}.
25+10\sqrt{15685}+15685
The square of \sqrt{15685} is 15685.
15710+10\sqrt{15685}
Add 25 and 15685 to get 15710.
25+10\sqrt{15685}+\left(\sqrt{15685}\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5+\sqrt{15685}\right)^{2}.
25+10\sqrt{15685}+15685
The square of \sqrt{15685} is 15685.
15710+10\sqrt{15685}
Add 25 and 15685 to get 15710.
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