Solve =3.82^2-0.955^2/2*9.81+2

$$= \frac { 3.82 ^ { 2 } - 0.955 ^ { 2 } } { 2 \times 9.81 } + 2$$

Evaluate

$$\frac{141121}{52320}\approx 2.69726682$$

Solution Steps

Calculate 3.82 to the power of 2 and get 14.5924.

$$\frac{14.5924-0.955^{2}}{2\times 9.81}+2$$

Calculate 0.955 to the power of 2 and get 0.912025.

$$\frac{14.5924-0.912025}{2\times 9.81}+2$$

Subtract 0.912025 from 14.5924 to get 13.680375.

$$\frac{13.680375}{2\times 9.81}+2$$

Multiply 2 and 9.81 to get 19.62.

$$\frac{13.680375}{19.62}+2$$

Expand \frac{13.680375}{19.62} by multiplying both numerator and the denominator by 1000000.

$$\frac{13680375}{19620000}+2$$

Reduce the fraction \frac{13680375}{19620000} to lowest terms by extracting and canceling out 375.

$$\frac{36481}{52320}+2$$

Convert 2 to fraction \frac{104640}{52320}.

$$\frac{36481}{52320}+\frac{104640}{52320}$$

Since \frac{36481}{52320} and \frac{104640}{52320} have the same denominator, add them by adding their numerators.

$$\frac{36481+104640}{52320}$$

Add 36481 and 104640 to get 141121.

$$\frac{141121}{52320}$$

Factor

$$\frac{141121}{3 \cdot 5 \cdot 109 \cdot 2 ^ {5}} = 2\frac{36481}{52320} = 2.6972668195718654$$