To simplify the expression [tex]\(\frac{\sqrt{108}}{\sqrt{3}}\)[/tex], we can use properties of square roots to make it simpler.
First, recall that the division of two square roots can be combined into a single square root:
[tex]\[
\frac{\sqrt{108}}{\sqrt{3}} = \sqrt{\frac{108}{3}}
\][/tex]
Next, perform the division inside the square root:
[tex]\[
\frac{108}{3} = 36
\][/tex]
So the expression now becomes:
[tex]\[
\sqrt{36}
\][/tex]
Finally, take the square root of 36:
[tex]\[
\sqrt{36} = 6
\][/tex]
Thus, the simplified form of the expression [tex]\(\frac{\sqrt{108}}{\sqrt{3}}\)[/tex] is [tex]\(6\)[/tex].
The correct answer is:
A. 6
