Evaluate
\frac{\sqrt{3}}{3}\approx 0.577350269
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\frac{\sqrt{7}\sqrt{21}}{\left(\sqrt{21}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{7}}{\sqrt{21}} by multiplying numerator and denominator by \sqrt{21}.
\frac{\sqrt{7}\sqrt{21}}{21}
The square of \sqrt{21} is 21.
\frac{\sqrt{7}\sqrt{7}\sqrt{3}}{21}
Factor 21=7\times 3. Rewrite the square root of the product \sqrt{7\times 3} as the product of square roots \sqrt{7}\sqrt{3}.
\frac{7\sqrt{3}}{21}
Multiply \sqrt{7} and \sqrt{7} to get 7.
\frac{1}{3}\sqrt{3}
Divide 7\sqrt{3} by 21 to get \frac{1}{3}\sqrt{3}.
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