Solve (5.82^2-2.36^2)div3.46

$$( { 5.82 }^{ 2 } - { 2.36 }^{ 2 } ) \div 3.46$$

Evaluate

$$8.18$$

Solution Steps

Calculate 5.82 to the power of 2 and get 33.8724.

$$\frac{33.8724-2.36^{2}}{3.46}$$

Calculate 2.36 to the power of 2 and get 5.5696.

$$\frac{33.8724-5.5696}{3.46}$$

Subtract 5.5696 from 33.8724 to get 28.3028.

$$\frac{28.3028}{3.46}$$

Expand \frac{28.3028}{3.46} by multiplying both numerator and the denominator by 10000.

$$\frac{283028}{34600}$$

Reduce the fraction \frac{283028}{34600} to lowest terms by extracting and canceling out 692.

$$\frac{409}{50}$$

Factor

$$\frac{409}{2 \cdot 5 ^ {2}} = 8\frac{9}{50} = 8.18$$