Solve -11div4+sqrt{217/16}

$$-11 \div 4+ \sqrt{ \frac{ 217 }{ 16 } }$$

Evaluate

$$\frac{\sqrt{217}-11}{4}\approx 0.932729966$$

Solution Steps

Fraction \frac{-11}{4} can be rewritten as -\frac{11}{4} by extracting the negative sign.

$$-\frac{11}{4}+\sqrt{\frac{217}{16}}$$

Rewrite the square root of the division \sqrt{\frac{217}{16}} as the division of square roots \frac{\sqrt{217}}{\sqrt{16}}.

$$-\frac{11}{4}+\frac{\sqrt{217}}{\sqrt{16}}$$

Calculate the square root of 16 and get 4.

$$-\frac{11}{4}+\frac{\sqrt{217}}{4}$$

Since -\frac{11}{4} and \frac{\sqrt{217}}{4} have the same denominator, add them by adding their numerators.

$$\frac{-11+\sqrt{217}}{4}$$

Factor

$$\frac{\sqrt{217} - 11}{4} = 0.9327299656640586$$