Evaluate
\frac{3\sqrt{170}}{34}\approx 1.150447483
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\frac{3\sqrt{5}}{\sqrt{34}}
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}\sqrt{34}}{\left(\sqrt{34}\right)^{2}}
Rationalize the denominator of \frac{3\sqrt{5}}{\sqrt{34}} by multiplying numerator and denominator by \sqrt{34}.
\frac{3\sqrt{5}\sqrt{34}}{34}
The square of \sqrt{34} is 34.
\frac{3\sqrt{170}}{34}
To multiply \sqrt{5} and \sqrt{34}, multiply the numbers under the square root.
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