Question

value of (√i + √-i) is
a)-2 b)-√2 c)√2 d)12​

Answer 1

Answer:

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Step-by-step explanation:

Let a+ib=2i

⇒(a+ib)2=2i

⇒a2−b2+2iab=2i

comparing real and imaginary parts,

a2−b2=0,2ab=2⇒ab=1

⇒ab=1⇒a=b1

a2−b2=0⇒(b1)2−b2=0

⇒1−b4=0

⇒b4−1=0

⇒(b2−1)(b2+1)=0

⇒(b−1)(b+1)(b2+1)=0

⇒b=1,−1,±i

⇒a=11,−11,

Answer 2

Step-by-step explanation:

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