Evaluate
\frac{3\sqrt{14}}{2}\approx 5.61248608
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\frac{1}{2}\sqrt{3}\sqrt{14}\sqrt{3}
Factor 42=3\times 14. Rewrite the square root of the product \sqrt{3\times 14} as the product of square roots \sqrt{3}\sqrt{14}.
\frac{1}{2}\times 3\sqrt{14}
Multiply \sqrt{3} and \sqrt{3} to get 3.
\frac{3}{2}\sqrt{14}
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
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