Evaluate
60
Factor
3\times 5\times 2^{2}
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\sqrt{1.8}\sqrt{20}\sqrt{20}\sqrt{5}
Factor 100=20\times 5. Rewrite the square root of the product \sqrt{20\times 5} as the product of square roots \sqrt{20}\sqrt{5}.
\sqrt{1.8}\times 20\sqrt{5}
Multiply \sqrt{20} and \sqrt{20} to get 20.
\sqrt{9}\times 20
To multiply \sqrt{1.8} and \sqrt{5}, multiply the numbers under the square root.
3\times 20
Calculate the square root of 9 and get 3.
60
Multiply 3 and 20 to get 60.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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}