Question

Does 1 over square root 2 equal square root 1/2?

Answer 1

Yep.
You have:
`a/sqrt(2)=` you can take the root of the numerator (which in this case is `a=1`) but you have always to square it (to avoid changing your fraction) so you get:
`sqrt(a^2)/sqrt(2)` you can use one square root only:
`=sqrt(a^2/2)=` but in this case `a=1` so that `1^2=1` so you get `=sqrt(1/2)`