Solve 1,3*20(1-sqrt{1}-1/(1,3)^2)

$$1,3 \cdot 20 ( 1 - \sqrt { 1 } - \frac { 1 } { ( 1,3 ) ^ { 2 } } )$$

Evaluate

$$-\frac{200}{13}\approx -15,384615385$$

Solution Steps

Multiply 1,3 and 20 to get 26.

$$26\left(1-\sqrt{1}-\frac{1}{1,3^{2}}\right)$$

Calculate the square root of 1 and get 1.

$$26\left(1-1-\frac{1}{1,3^{2}}\right)$$

Subtract 1 from 1 to get 0.

$$26\left(-\frac{1}{1,3^{2}}\right)$$

Calculate 1,3 to the power of 2 and get 1,69.

$$26\left(-\frac{1}{1,69}\right)$$

Expand \frac{1}{1,69} by multiplying both numerator and the denominator by 100.

$$26\left(-\frac{100}{169}\right)$$

Express 26\left(-\frac{100}{169}\right) as a single fraction.

$$\frac{26\left(-100\right)}{169}$$

Multiply 26 and -100 to get -2600.

$$\frac{-2600}{169}$$

Reduce the fraction \frac{-2600}{169} to lowest terms by extracting and canceling out 13.

$$-\frac{200}{13}$$

Factor

$$-\frac{200}{13} = -15\frac{5}{13} = -15.384615384615385$$