Evaluate
7\sqrt{3}+24\approx 36.124355653
Share
Copied to clipboard
30-5\sqrt{3}+12\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Apply the distributive property by multiplying each term of 5+2\sqrt{3} by each term of 6-\sqrt{3}.
30+7\sqrt{3}-2\left(\sqrt{3}\right)^{2}
Combine -5\sqrt{3} and 12\sqrt{3} to get 7\sqrt{3}.
30+7\sqrt{3}-2\times 3
The square of \sqrt{3} is 3.
30+7\sqrt{3}-6
Multiply -2 and 3 to get -6.
24+7\sqrt{3}
Subtract 6 from 30 to get 24.
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}