( \sqrt { 9246 } - \sqrt { 1640 \cdot 25 \times \frac { 1 } { 2 } } = ?
Evaluate
\sqrt{9246}-10\sqrt{205}\approx -47.022087583
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\sqrt{9246}-\sqrt{41000\times \frac{1}{2}}
Multiply 1640 and 25 to get 41000.
\sqrt{9246}-\sqrt{\frac{41000}{2}}
Multiply 41000 and \frac{1}{2} to get \frac{41000}{2}.
\sqrt{9246}-\sqrt{20500}
Divide 41000 by 2 to get 20500.
\sqrt{9246}-10\sqrt{205}
Factor 20500=10^{2}\times 205. Rewrite the square root of the product \sqrt{10^{2}\times 205} as the product of square roots \sqrt{10^{2}}\sqrt{205}. Take the square root of 10^{2}.
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