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3.5\times 2\sqrt{231}
Factor 924=2^{2}\times 231. Rewrite the square root of the product \sqrt{2^{2}\times 231} as the product of square roots \sqrt{2^{2}}\sqrt{231}. Take the square root of 2^{2}.
7\sqrt{231}
Multiply 3.5 and 2 to get 7.