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Question

Express the complex number 1(1+i) in a + ib form where a and b are real. Find the value of  a2+b2.


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Solution

Solution: Let z = 11+i

Rationalize the given complex numberby multiplying 1 - i to mumerator and denominator

11+i × 1i1i

1i1i21i1+11i2

a = 12, b = 12

So, a2 + b2 = (14) + (14) = 12

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