Evaluate
280\sqrt{7}\approx 740.810367098
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\sqrt{28}\sqrt{4}\sqrt{175}\sqrt{28}
Factor 112=28\times 4. Rewrite the square root of the product \sqrt{28\times 4} as the product of square roots \sqrt{28}\sqrt{4}.
28\sqrt{175}\sqrt{4}
Multiply \sqrt{28} and \sqrt{28} to get 28.
28\times 5\sqrt{7}\sqrt{4}
Factor 175=5^{2}\times 7. Rewrite the square root of the product \sqrt{5^{2}\times 7} as the product of square roots \sqrt{5^{2}}\sqrt{7}. Take the square root of 5^{2}.
140\sqrt{7}\sqrt{4}
Multiply 28 and 5 to get 140.
140\sqrt{7}\times 2
Calculate the square root of 4 and get 2.
280\sqrt{7}
Multiply 140 and 2 to get 280.
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