\sqrt{ ((318 \div 460 }
Evaluate
\frac{\sqrt{36570}}{230}\approx 0.831447141
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\sqrt{\frac{159}{230}}
Reduce the fraction \frac{318}{460} to lowest terms by extracting and canceling out 2.
\frac{\sqrt{159}}{\sqrt{230}}
Rewrite the square root of the division \sqrt{\frac{159}{230}} as the division of square roots \frac{\sqrt{159}}{\sqrt{230}}.
\frac{\sqrt{159}\sqrt{230}}{\left(\sqrt{230}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{159}}{\sqrt{230}} by multiplying numerator and denominator by \sqrt{230}.
\frac{\sqrt{159}\sqrt{230}}{230}
The square of \sqrt{230} is 230.
\frac{\sqrt{36570}}{230}
To multiply \sqrt{159} and \sqrt{230}, multiply the numbers under the square root.
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