Solve frac{sqrt{15}-4}{4sqrt{15}}=

$$\frac { \sqrt { 15 } - 4 } { 4 \sqrt { 15 } } =$$

Evaluate

$$-\frac{\sqrt{15}}{15}+\frac{1}{4}\approx -0.00819889$$

Solution Steps

Rationalize the denominator of \frac{\sqrt{15}-4}{4\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$\frac{\left(\sqrt{15}-4\right)\sqrt{15}}{4\left(\sqrt{15}\right)^{2}}$$

The square of \sqrt{15} is 15.

$$\frac{\left(\sqrt{15}-4\right)\sqrt{15}}{4\times 15}$$

Multiply 4 and 15 to get 60.

$$\frac{\left(\sqrt{15}-4\right)\sqrt{15}}{60}$$

Use the distributive property to multiply \sqrt{15}-4 by \sqrt{15}.

$$\frac{\left(\sqrt{15}\right)^{2}-4\sqrt{15}}{60}$$

The square of \sqrt{15} is 15.

$$\frac{15-4\sqrt{15}}{60}$$