Solve 18^2+21.9^2-10.4^2/2(18)(21.9

$$\frac{ { 18 }^{ 2 } + { 21.9 }^{ 2 } - { 10.4 }^{ 2 } }{ 2(18)(21.9 }$$

Evaluate

$$\frac{13909}{15768}\approx 0.882102993$$

Solution Steps

Calculate 18 to the power of 2 and get 324.

$$\frac{324+21.9^{2}-10.4^{2}}{2\times 18\times 21.9}$$

Calculate 21.9 to the power of 2 and get 479.61.

$$\frac{324+479.61-10.4^{2}}{2\times 18\times 21.9}$$

Add 324 and 479.61 to get 803.61.

$$\frac{803.61-10.4^{2}}{2\times 18\times 21.9}$$

Calculate 10.4 to the power of 2 and get 108.16.

$$\frac{803.61-108.16}{2\times 18\times 21.9}$$

Subtract 108.16 from 803.61 to get 695.45.

$$\frac{695.45}{2\times 18\times 21.9}$$

Multiply 2 and 18 to get 36.

$$\frac{695.45}{36\times 21.9}$$

Multiply 36 and 21.9 to get 788.4.

$$\frac{695.45}{788.4}$$

Expand \frac{695.45}{788.4} by multiplying both numerator and the denominator by 100.

$$\frac{69545}{78840}$$

Reduce the fraction \frac{69545}{78840} to lowest terms by extracting and canceling out 5.

$$\frac{13909}{15768}$$

Factor

$$\frac{7 \cdot 1987}{73 \cdot 2 ^ {3} \cdot 3 ^ {3}} = 0.8821029934043633$$