Evaluate
9-\sqrt{14}\approx 5.258342613
Quiz
Arithmetic
5 problems similar to:
\sqrt { 7 } ( \sqrt { 28 } - \sqrt { 2 } ) - 5 \approx \ldots . .
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\sqrt{7}\left(2\sqrt{7}-\sqrt{2}\right)-5
Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.
2\left(\sqrt{7}\right)^{2}-\sqrt{7}\sqrt{2}-5
Use the distributive property to multiply \sqrt{7} by 2\sqrt{7}-\sqrt{2}.
2\times 7-\sqrt{7}\sqrt{2}-5
The square of \sqrt{7} is 7.
14-\sqrt{7}\sqrt{2}-5
Multiply 2 and 7 to get 14.
14-\sqrt{14}-5
To multiply \sqrt{7} and \sqrt{2}, multiply the numbers under the square root.
9-\sqrt{14}
Subtract 5 from 14 to get 9.
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