Solve frac{sqrt{14}}{2}-sqrt[4]{16}

$$\frac { \sqrt { 14 } } { 2 } - \sqrt[ 4 ] { 16 }$$

Evaluate

$$\frac{\sqrt{14}}{2}-2\approx -0.129171307$$

Short Solution Steps

Calculate \sqrt[4]{16} and get 2.

$$\frac{\sqrt{14}}{2}-2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{2}{2}.

$$\frac{\sqrt{14}}{2}-\frac{2\times 2}{2}$$

Since \frac{\sqrt{14}}{2} and \frac{2\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\sqrt{14}-2\times 2}{2}$$

Do the multiplications in \sqrt{14}-2\times 2.

$$\frac{\sqrt{14}-4}{2}$$

Factor

$$\frac{\sqrt{14} - 4}{2} = -0.12917130661302934$$