Question

Find the value of 3 over the square root of 3..

A:3
B:3 times the square root of 3.
C:the square root of 3.
D:the square root of 3 over 3.

Answer 1

\[3 \over \sqrt 3 \] =
\[ 3 \over 3^\frac12\]

Now, use the fact that : \[\frac{a^x}{a^y} = a^{x-y}\]

Answer 2

You can also rationalize the denominator.
\[\frac{3}{\sqrt{3}}=\frac{3}{\sqrt{3}}\frac{\sqrt3}{\sqrt{3}}\]
\[=\frac{3\sqrt{3}}{3}\]
The 3's divide out and your result is....