Find the possible value(s) of Re(i1/2)+|Im(i1/2)|.
Find the possible value(s) of Re(i1/2)+|Im(i1/2)|. Correct Answer 0, √2
We can write: i=eiπ/2⇒i1/2=eiπ/4=1/√2+i/√2, also i1/2=ei3π/4=-1/√2-i/√2 Hence, Re(i1/2)+|Im(i1/2)|=1/√2+1/√2=√2 OR -1/√2+1/√2=0.
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Feb 20, 2025