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\frac{\sqrt{49\times 3}}{2}
Multiply 7 and 7 to get 49.
\frac{\sqrt{147}}{2}
Multiply 49 and 3 to get 147.
\frac{7\sqrt{3}}{2}
Factor 147=7^{2}\times 3. Rewrite the square root of the product \sqrt{7^{2}\times 3} as the product of square roots \sqrt{7^{2}}\sqrt{3}. Take the square root of 7^{2}.