Evaluate
10
Factor
2\times 5
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\left(3\sqrt{10}-\sqrt{40}\right)\sqrt{10}
Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.
\left(3\sqrt{10}-2\sqrt{10}\right)\sqrt{10}
Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.
\sqrt{10}\sqrt{10}
Combine 3\sqrt{10} and -2\sqrt{10} to get \sqrt{10}.
10
Multiply \sqrt{10} and \sqrt{10} to get 10.
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