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

1 Answer
May 30, 2015

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)#