Evaluate
\frac{\sqrt{21}}{7}\approx 0.654653671
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\frac{\sqrt{15}}{\sqrt{35}}
To multiply \sqrt{7} and \sqrt{5}, multiply the numbers under the square root.
\frac{\sqrt{15}\sqrt{35}}{\left(\sqrt{35}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{15}}{\sqrt{35}} by multiplying numerator and denominator by \sqrt{35}.
\frac{\sqrt{15}\sqrt{35}}{35}
The square of \sqrt{35} is 35.
\frac{\sqrt{525}}{35}
To multiply \sqrt{15} and \sqrt{35}, multiply the numbers under the square root.
\frac{5\sqrt{21}}{35}
Factor 525=5^{2}\times 21. Rewrite the square root of the product \sqrt{5^{2}\times 21} as the product of square roots \sqrt{5^{2}}\sqrt{21}. Take the square root of 5^{2}.
\frac{1}{7}\sqrt{21}
Divide 5\sqrt{21} by 35 to get \frac{1}{7}\sqrt{21}.
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