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Find the Modulus of the complex number 

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Detailed Solution

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Concept;

Modulus of a complex number z = x + iy is given by:

|z| = 

(a + b)(a - b) = a2 - b2

Calculation:

Given: z = 

Mutiply by (3 + 4i) in denominator and numerator.

z =  =  =                   (∵ i2 = -1) 

z = 

|z| = 

|z| = √2 

 

If z =  so, modulus of |z| = 

z = 

|z| =  

|z| = √2  

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