Evaluate
\frac{3\sqrt{5}}{8}\approx 0.838525492
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\left(\sqrt{\frac{3\sqrt{5}}{8}}\right)^{2}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
\frac{3\sqrt{5}}{8}
Calculate \sqrt{\frac{3\sqrt{5}}{8}} to the power of 2 and get \frac{3\sqrt{5}}{8}.
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