#1**+2 **

Just to make sure.... Is this the expression in your question:

\(\sqrt\frac38\)

??

hectictar Apr 9, 2018

#4**+2 **

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).

hectictar Apr 9, 2018