Solve 0.85-sqrt{0.7225}-(1.7)(5131)(100)/(0.9)(250)(9.5)^2

$$0.85 - \sqrt { 0.7225 } - \frac { ( 1.7 ) ( 5131 ) ( 100 ) } { ( 0.9 ) ( 250 ) ( 9.5 ) ^ { 2 } }$$

Evaluate

$$-\frac{697816}{16245}\approx -42.955740228$$

Solution Steps

Calculate the square root of 0.7225 and get 0.85.

$$0.85-0.85-\frac{1.7\times 5131\times 100}{0.9\times 250\times 9.5^{2}}$$

Subtract 0.85 from 0.85 to get 0.

$$-\frac{1.7\times 5131\times 100}{0.9\times 250\times 9.5^{2}}$$

Cancel out 50 in both numerator and denominator.

$$-\frac{1.7\times 2\times 5131}{0.9\times 5\times 9.5^{2}}$$

Multiply 1.7 and 2 to get 3.4.

$$-\frac{3.4\times 5131}{0.9\times 5\times 9.5^{2}}$$

Multiply 3.4 and 5131 to get 17445.4.

$$-\frac{17445.4}{0.9\times 5\times 9.5^{2}}$$

Multiply 0.9 and 5 to get 4.5.

$$-\frac{17445.4}{4.5\times 9.5^{2}}$$

Calculate 9.5 to the power of 2 and get 90.25.

$$-\frac{17445.4}{4.5\times 90.25}$$

Multiply 4.5 and 90.25 to get 406.125.

$$-\frac{17445.4}{406.125}$$

Expand \frac{17445.4}{406.125} by multiplying both numerator and the denominator by 1000.

$$-\frac{17445400}{406125}$$

Reduce the fraction \frac{17445400}{406125} to lowest terms by extracting and canceling out 25.

$$-\frac{697816}{16245}$$

Factor

$$-\frac{697816}{16245} = -42\frac{15526}{16245} = -42.95574022776239$$