Evaluate
15
Factor
3\times 5
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\sqrt{3}\sqrt{25}\sqrt{3}
Factor 75=3\times 25. Rewrite the square root of the product \sqrt{3\times 25} as the product of square roots \sqrt{3}\sqrt{25}.
3\sqrt{25}
Multiply \sqrt{3} and \sqrt{3} to get 3.
3\times 5
Calculate the square root of 25 and get 5.
15
Multiply 3 and 5 to get 15.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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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}