+9479 Just to make sure.... Is this the expression in your question:
\(\sqrt\frac38\)
?? 
+9479 Okay....
\(\ \quad\sqrt{\frac38}\\ =\\ \quad\sqrt{\frac38\cdot\frac88}\\ =\\ \quad\sqrt{\frac{24}{8^2}}\\ =\\ \quad\frac{\sqrt{24}}{\sqrt{8^2}}\\ =\\ \quad\frac{\sqrt{24}}{8}\\ =\\ \quad\frac{\sqrt{4\cdot6}}{8}\\ =\\ \quad\frac{\sqrt4\cdot\sqrt6}{8}\\ =\\ \quad\frac{2\cdot\sqrt6}{8}\\ =\\ \quad\frac{\sqrt6}{4}\)
BTW...
Whenever you use a radical, that is, this symbol: √
it is a good idea to always include parenthesees after it, like this: √( )
and then put all of the numbers that go under the radical in the parenthesees.
So for this expression it would be √( 3/8 ) .
That way, there is no confusion.
Notice that the expression √3/8 can also be interpreted as \(\frac{\sqrt3}{8}\)
(which would actually be the correct interpretation in this case).
