Solve 276.57-1.881132.30/sqrt{7}

$$276.57-1.881 \frac{ 132.30 }{ \sqrt{ 7 } }$$

Evaluate

$$-\frac{355509\sqrt{7}}{10000}+276.57\approx 182.511159715$$

Solution Steps

Rationalize the denominator of \frac{132.3}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$276.57-1.881\times \frac{132.3\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

The square of \sqrt{7} is 7.

$$276.57-1.881\times \frac{132.3\sqrt{7}}{7}$$

Divide 132.3\sqrt{7} by 7 to get 18.9\sqrt{7}.

$$276.57-1.881\times 18.9\sqrt{7}$$

Multiply 1.881 and 18.9 to get 35.5509.

$$276.57-35.5509\sqrt{7}$$