Solve sqrt{42/19}

$$\sqrt { \frac { 42 } { 19 } }$$

Evaluate

$$\frac{\sqrt{798}}{19}\approx 1.486783883$$

Solution Steps

Rewrite the square root of the division \sqrt{\frac{42}{19}} as the division of square roots \frac{\sqrt{42}}{\sqrt{19}}.

$$\frac{\sqrt{42}}{\sqrt{19}}$$

Rationalize the denominator of \frac{\sqrt{42}}{\sqrt{19}} by multiplying numerator and denominator by \sqrt{19}.

$$\frac{\sqrt{42}\sqrt{19}}{\left(\sqrt{19}\right)^{2}}$$

The square of \sqrt{19} is 19.

$$\frac{\sqrt{42}\sqrt{19}}{19}$$

To multiply \sqrt{42} and \sqrt{19}, multiply the numbers under the square root.

$$\frac{\sqrt{798}}{19}$$