Sure, let's solve the given expression step by step.
We start with the expression [tex]\( \sqrt{\frac{27}{3}} \)[/tex].
1. Divide the numerator by the denominator inside the square root:
[tex]\[
\frac{27}{3} = 9
\][/tex]
2. Take the square root of the result:
[tex]\[
\sqrt{9} = 3
\][/tex]
So, the value of [tex]\( \sqrt{\frac{27}{3}} \)[/tex] is [tex]\( 3 \)[/tex].