Solve -1.182+2.136/sqrt{10}*(2.26)

$$- 1.182 + \frac { 2.136 } { \sqrt { 10 } } \cdot ( 2.26 )$$

Evaluate

$$\frac{30171\sqrt{10}}{62500}-1.182\approx 0.344545269$$

Solution Steps

Rationalize the denominator of \frac{2.136}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$-1.182+\frac{2.136\sqrt{10}}{\left(\sqrt{10}\right)^{2}}\times 2.26$$

The square of \sqrt{10} is 10.

$$-1.182+\frac{2.136\sqrt{10}}{10}\times 2.26$$

Divide 2.136\sqrt{10} by 10 to get 0.2136\sqrt{10}.

$$-1.182+0.2136\sqrt{10}\times 2.26$$

Multiply 0.2136 and 2.26 to get 0.482736.

$$-1.182+0.482736\sqrt{10}$$