Solve .5067(8.535^2-5.153^2)

$$.5067( { 8.535 }^{ 2 } - { 5.153 }^{ 2 } )$$

Evaluate

$$23.4565698672$$

Solution Steps

Calculate 8.535 to the power of 2 and get 72.846225.

$$0.5067\left(72.846225-5.153^{2}\right)$$

Calculate 5.153 to the power of 2 and get 26.553409.

$$0.5067\left(72.846225-26.553409\right)$$

Subtract 26.553409 from 72.846225 to get 46.292816.

$$0.5067\times 46.292816$$

Multiply 0.5067 and 46.292816 to get 23.4565698672.

$$23.4565698672$$

Factor

$$\frac{19 \cdot 29 \cdot 59 \cdot 89 \cdot 563 \cdot 3 ^ {2}}{2 ^ {6} \cdot 5 ^ {10}} = 23\frac{285356167}{625000000} = 23.4565698672$$