Evaluate
\frac{\sqrt{21}+5\sqrt{3}}{3}\approx 4.414276578
Factor
\frac{\sqrt{21} + 5 \sqrt{3}}{3} = 4.4142765776000745
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\frac{\sqrt{21}-\sqrt{3}}{3}+\frac{3\times 2\sqrt{3}}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2\sqrt{3} times \frac{3}{3}.
\frac{\sqrt{21}-\sqrt{3}+3\times 2\sqrt{3}}{3}
Since \frac{\sqrt{21}-\sqrt{3}}{3} and \frac{3\times 2\sqrt{3}}{3} have the same denominator, add them by adding their numerators.
\frac{\sqrt{21}-\sqrt{3}+6\sqrt{3}}{3}
Do the multiplications in \sqrt{21}-\sqrt{3}+3\times 2\sqrt{3}.
\frac{\sqrt{21}+5\sqrt{3}}{3}
Do the calculations in \sqrt{21}-\sqrt{3}+6\sqrt{3}.
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