Evaluate
\frac{4\sqrt{6}}{7}\approx 1.399708424
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\sqrt{\frac{96}{49}}
Reduce the fraction \frac{288}{147} to lowest terms by extracting and canceling out 3.
\frac{\sqrt{96}}{\sqrt{49}}
Rewrite the square root of the division \sqrt{\frac{96}{49}} as the division of square roots \frac{\sqrt{96}}{\sqrt{49}}.
\frac{4\sqrt{6}}{\sqrt{49}}
Factor 96=4^{2}\times 6. Rewrite the square root of the product \sqrt{4^{2}\times 6} as the product of square roots \sqrt{4^{2}}\sqrt{6}. Take the square root of 4^{2}.
\frac{4\sqrt{6}}{7}
Calculate the square root of 49 and get 7.
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