Evaluate
-60
Factor
-60
Share
Copied to clipboard
\frac{3}{2}\times 2\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
3\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}
Cancel out 2 and 2.
-\sqrt{5}\sqrt{15}\sqrt{48}
Cancel out 3 and 3.
-\sqrt{5}\sqrt{15}\times 4\sqrt{3}
Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.
-4\sqrt{5}\sqrt{15}\sqrt{3}
Multiply -1 and 4 to get -4.
-4\sqrt{5}\sqrt{5}\sqrt{3}\sqrt{3}
Factor 15=5\times 3. Rewrite the square root of the product \sqrt{5\times 3} as the product of square roots \sqrt{5}\sqrt{3}.
-4\times 5\sqrt{3}\sqrt{3}
Multiply \sqrt{5} and \sqrt{5} to get 5.
-4\times 5\times 3
Multiply \sqrt{3} and \sqrt{3} to get 3.
-20\times 3
Multiply -4 and 5 to get -20.
-60
Multiply -20 and 3 to get -60.
Examples
Quadratic equation
{ 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}