10 \frac { \sqrt { 2 } } { 5 } - 0,5 \sqrt { 160 }
Evaluate
2\sqrt{2}-2\sqrt{10}\approx -3.496128196
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2\sqrt{2}-0,5\sqrt{160}
Cancel out 5, the greatest common factor in 10 and 5.
2\sqrt{2}-0,5\times 4\sqrt{10}
Factor 160=4^{2}\times 10. Rewrite the square root of the product \sqrt{4^{2}\times 10} as the product of square roots \sqrt{4^{2}}\sqrt{10}. Take the square root of 4^{2}.
2\sqrt{2}-2\sqrt{10}
Multiply -0,5 and 4 to get -2.
Examples
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