Rationalize the denominator. Simplify the answer.

Question

squareroot 11/ squareroot 3

squareroot 11/ squareroot 3 = blank (Please type an exact answer using radicals as needed.)

Answer 1

To rationalize the denominator of the expression \(\frac{\sqrt{11}}{\sqrt{3}}\), you can multiply the numerator and denominator by \(\sqrt{3}\):

\[ \frac{\sqrt{11}}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{11} \cdot \sqrt{3}}{\sqrt{3} \cdot \sqrt{3}} = \frac{\sqrt{33}}{3} \]

So, the simplified expression is:

\[ \frac{\sqrt{33}}{3} \]