Evaluate
\frac{18\sqrt{35}}{175}\approx 0.608511063
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\frac{\sqrt{324}}{\sqrt{875}}
Rewrite the square root of the division \sqrt{\frac{324}{875}} as the division of square roots \frac{\sqrt{324}}{\sqrt{875}}.
\frac{18}{\sqrt{875}}
Calculate the square root of 324 and get 18.
\frac{18}{5\sqrt{35}}
Factor 875=5^{2}\times 35. Rewrite the square root of the product \sqrt{5^{2}\times 35} as the product of square roots \sqrt{5^{2}}\sqrt{35}. Take the square root of 5^{2}.
\frac{18\sqrt{35}}{5\left(\sqrt{35}\right)^{2}}
Rationalize the denominator of \frac{18}{5\sqrt{35}} by multiplying numerator and denominator by \sqrt{35}.
\frac{18\sqrt{35}}{5\times 35}
The square of \sqrt{35} is 35.
\frac{18\sqrt{35}}{175}
Multiply 5 and 35 to get 175.
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