Evaluate
16\sqrt{2}\approx 22.627416998
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3\times 5\sqrt{2}-2\sqrt{18}+\sqrt{98}
Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.
15\sqrt{2}-2\sqrt{18}+\sqrt{98}
Multiply 3 and 5 to get 15.
15\sqrt{2}-2\times 3\sqrt{2}+\sqrt{98}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
15\sqrt{2}-6\sqrt{2}+\sqrt{98}
Multiply -2 and 3 to get -6.
9\sqrt{2}+\sqrt{98}
Combine 15\sqrt{2} and -6\sqrt{2} to get 9\sqrt{2}.
9\sqrt{2}+7\sqrt{2}
Factor 98=7^{2}\times 2. Rewrite the square root of the product \sqrt{7^{2}\times 2} as the product of square roots \sqrt{7^{2}}\sqrt{2}. Take the square root of 7^{2}.
16\sqrt{2}
Combine 9\sqrt{2} and 7\sqrt{2} to get 16\sqrt{2}.
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Limits
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