Solve frac{2sqrt{7}-5}{sqrt{5}}=

$$\frac { 2 \sqrt { 7 } - 5 } { \sqrt { 5 } } =$$

Evaluate

$$\frac{2\sqrt{35}}{5}-\sqrt{5}\approx 0.130363936$$

Solution Steps

Rationalize the denominator of \frac{2\sqrt{7}-5}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{\left(2\sqrt{7}-5\right)\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{\left(2\sqrt{7}-5\right)\sqrt{5}}{5}$$

Use the distributive property to multiply 2\sqrt{7}-5 by \sqrt{5}.

$$\frac{2\sqrt{7}\sqrt{5}-5\sqrt{5}}{5}$$

To multiply \sqrt{7} and \sqrt{5}, multiply the numbers under the square root.

$$\frac{2\sqrt{35}-5\sqrt{5}}{5}$$