Evaluate
10\sqrt{2}-2\sqrt{35}\approx 2.309976058
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2\sqrt{5}\sqrt{10}-2\sqrt{5}\sqrt{7}
Use the distributive property to multiply 2\sqrt{5} by \sqrt{10}-\sqrt{7}.
2\sqrt{5}\sqrt{5}\sqrt{2}-2\sqrt{5}\sqrt{7}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
2\times 5\sqrt{2}-2\sqrt{5}\sqrt{7}
Multiply \sqrt{5} and \sqrt{5} to get 5.
10\sqrt{2}-2\sqrt{5}\sqrt{7}
Multiply 2 and 5 to get 10.
10\sqrt{2}-2\sqrt{35}
To multiply \sqrt{5} and \sqrt{7}, multiply the numbers under the square root.
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