\sqrt { 7 } ( \sqrt { 8 } - \sqrt { 17 }
Evaluate
2\sqrt{14}-\sqrt{119}\approx -3.425397341
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\sqrt{7}\left(2\sqrt{2}-\sqrt{17}\right)
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
2\sqrt{7}\sqrt{2}-\sqrt{7}\sqrt{17}
Use the distributive property to multiply \sqrt{7} by 2\sqrt{2}-\sqrt{17}.
2\sqrt{14}-\sqrt{7}\sqrt{17}
To multiply \sqrt{7} and \sqrt{2}, multiply the numbers under the square root.
2\sqrt{14}-\sqrt{119}
To multiply \sqrt{7} and \sqrt{17}, multiply the numbers under the square root.
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