Evaluate
270
Factor
2\times 3^{3}\times 5
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\sqrt{1215}\sqrt{60}
Multiply 45 and 27 to get 1215.
9\sqrt{15}\sqrt{60}
Factor 1215=9^{2}\times 15. Rewrite the square root of the product \sqrt{9^{2}\times 15} as the product of square roots \sqrt{9^{2}}\sqrt{15}. Take the square root of 9^{2}.
9\sqrt{15}\times 2\sqrt{15}
Factor 60=2^{2}\times 15. Rewrite the square root of the product \sqrt{2^{2}\times 15} as the product of square roots \sqrt{2^{2}}\sqrt{15}. Take the square root of 2^{2}.
18\sqrt{15}\sqrt{15}
Multiply 9 and 2 to get 18.
18\times 15
Multiply \sqrt{15} and \sqrt{15} to get 15.
270
Multiply 18 and 15 to get 270.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}