Evaluate
\frac{2\sqrt{26}}{13}\approx 0.784464541
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\frac{12}{3\sqrt{26}}
Factor 234=3^{2}\times 26. Rewrite the square root of the product \sqrt{3^{2}\times 26} as the product of square roots \sqrt{3^{2}}\sqrt{26}. Take the square root of 3^{2}.
\frac{12\sqrt{26}}{3\left(\sqrt{26}\right)^{2}}
Rationalize the denominator of \frac{12}{3\sqrt{26}} by multiplying numerator and denominator by \sqrt{26}.
\frac{12\sqrt{26}}{3\times 26}
The square of \sqrt{26} is 26.
\frac{2\sqrt{26}}{13}
Cancel out 2\times 3 in both numerator and denominator.
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