Evaluate
-25\sqrt{6}-30\sqrt{10}\approx -156.105573375
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-10\sqrt{15}\sqrt{6}-5\sqrt{15}\sqrt{10}
Use the distributive property to multiply -5\sqrt{15} by 2\sqrt{6}+\sqrt{10}.
-10\sqrt{90}-5\sqrt{15}\sqrt{10}
To multiply \sqrt{15} and \sqrt{6}, multiply the numbers under the square root.
-10\sqrt{90}-5\sqrt{150}
To multiply \sqrt{15} and \sqrt{10}, multiply the numbers under the square root.
-10\times 3\sqrt{10}-5\sqrt{150}
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}.
-30\sqrt{10}-5\sqrt{150}
Multiply -10 and 3 to get -30.
-30\sqrt{10}-5\times 5\sqrt{6}
Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.
-30\sqrt{10}-25\sqrt{6}
Multiply -5 and 5 to get -25.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}