Evaluate
\frac{3\sqrt{7}}{7}+1\approx 2.133893419
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\frac{\left(3+\sqrt{7}\right)\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{3+\sqrt{7}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{\left(3+\sqrt{7}\right)\sqrt{7}}{7}
The square of \sqrt{7} is 7.
\frac{3\sqrt{7}+\left(\sqrt{7}\right)^{2}}{7}
Use the distributive property to multiply 3+\sqrt{7} by \sqrt{7}.
\frac{3\sqrt{7}+7}{7}
The square of \sqrt{7} is 7.
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