[tex] \sqrt{ \frac{1}{2} } = \frac{ \sqrt{1} }{ \sqrt{2} } [/tex]
sqrt of 1 is 1.
[tex] \frac{1}{ \sqrt{2} } [/tex]
rationalizing this
[tex] \frac{1}{ \sqrt{2} } [/tex] x [tex] \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]
we get
[tex] \frac{ \sqrt{2} }{2} [/tex]
