Solve 1/2*(10*(5+2,5))*1,33^2

$$\frac { 1 } { 2 } \times ( 10 \cdot ( 5 + 2,5 ) ) \cdot 1,33 ^ { 2 }$$

Evaluate

$$40837,5$$

Solution Steps

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{10}{2}\left(5+2,5\right)\times 1\times 33^{2}$$

Divide 10 by 2 to get 5.

$$5\left(5+2,5\right)\times 1\times 33^{2}$$

Add 5 and 2,5 to get 7,5.

$$5\times 7,5\times 1\times 33^{2}$$

Multiply 5 and 7,5 to get 37,5.

$$37,5\times 1\times 33^{2}$$

Multiply 37,5 and 1 to get 37,5.

$$37,5\times 33^{2}$$

Calculate 33 to the power of 2 and get 1089.

$$37,5\times 1089$$

Multiply 37,5 and 1089 to get 40837,5.

$$40837,5$$

Factor

$$\frac{3 ^ {3} \cdot 5 ^ {2} \cdot 11 ^ {2}}{2} = 40837\frac{1}{2} = 40837.5$$