Evaluate
30\sqrt{26}\approx 152.970585408
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10\sqrt{9+15^{2}}
Calculate 3 to the power of 2 and get 9.
10\sqrt{9+225}
Calculate 15 to the power of 2 and get 225.
10\sqrt{234}
Add 9 and 225 to get 234.
10\times 3\sqrt{26}
Factor 234=3^{2}\times 26. Rewrite the square root of the product \sqrt{3^{2}\times 26} as the product of square roots \sqrt{3^{2}}\sqrt{26}. Take the square root of 3^{2}.
30\sqrt{26}
Multiply 10 and 3 to get 30.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}