Solve sqrt{3}divfrac{sqrt{3}}{sqrt{2}}

$$\sqrt { 3 } \div \frac { \sqrt { 3 } } { \sqrt { 2 } }$$

Evaluate

$$\sqrt{2}\approx 1.414213562$$

Solution Steps

Divide \sqrt{3} by \frac{\sqrt{3}}{\sqrt{2}} by multiplying \sqrt{3} by the reciprocal of \frac{\sqrt{3}}{\sqrt{2}}.

$$\frac{\sqrt{3}\sqrt{2}}{\sqrt{3}}$$

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

$$\frac{\sqrt{6}}{\sqrt{3}}$$

Rewrite the division of square roots \frac{\sqrt{6}}{\sqrt{3}} as the square root of the division \sqrt{\frac{6}{3}} and perform the division.

$$\sqrt{2}$$