Spin 1/2 - Is √3/2ħ or √¾ħ Correct?

[Isaac0427]

Hi,
I was looking at the wikipedia article for spin 1/2 http://en.wikipedia.org/wiki/Spin-½ and it stated that √(½(½+1))ħ=√3/2ħ. According to my math it is √¾ħ. Is this just a typo or am I missing something?

 

[ShayanJ]

Be careful, what you wrote is $\sqrt{\frac 3 4 }\hbar$ and what the wiki page wrote is $\frac{\sqrt 3}{2} \hbar$. They're the same!

 

[Isaac0427]

Be careful, what you wrote is $\sqrt{\frac 3 4 }\hbar$ and what the wiki page wrote is $\frac{\sqrt 3}{2} \hbar$. They're the same!

Ah I see. I went off initial simplification, not realizing that they are the same.