Evaluate
2\sqrt{13}+\frac{25}{4}\approx 13.461102551
Factor
\frac{8 \sqrt{13} + 25}{4} = 13.46110255092798
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\frac{25}{4}+2\sqrt{13}
Factor 52=2^{2}\times 13. Rewrite the square root of the product \sqrt{2^{2}\times 13} as the product of square roots \sqrt{2^{2}}\sqrt{13}. Take the square root of 2^{2}.
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