Find the square root of the complex number - 11 - 60 - 1 .

Given, - 11 - 60 - 1 Let, z = - 11 - 60 i Here, Re ( z ) = - 11 , lm ( z ) = - 60 < 0 | z | = 121 + 3600 = 61 z = ± | z | + Re ( z ) 2 - i | z | - Re ( z ) 2 = ± 61 - 11 2 - i 61 + 11 2 ∴ z = ± ( 5 - 6 i )

Find the square root of the complex number 1 + 4 - 3 .

Let, z = 1 + 4 3 - 1 = 1 + 4 3 i Here, Re ( z ) = 1 , lm ( z ) = 4 3 > 0 | z | = 1 + 16 × 3 = 7 ∴ z = ± | z | + Re ( z ) 2 + i | z | - Re ( z ) 2 = ± 7 + 1 2 + i 7 - 1 2 ∴ z = ± ( 2 + 3 i )

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MATHEMATICS for CLASS XI>Chapter 13 - Complex Numbers>EXERCISE 13.3

R D Sharma Solutions for Chapter: Complex Numbers, Exercise 3: EXERCISE 13.3

Author:R D Sharma

R D Sharma Mathematics Solutions for Exercise - R D Sharma Solutions for Chapter: Complex Numbers, Exercise 3: EXERCISE 13.3

Attempt the practice questions on Chapter 13: Complex Numbers, Exercise 3: EXERCISE 13.3 with hints and solutions to strengthen your understanding. MATHEMATICS for CLASS XI solutions are prepared by Experienced Embibe Experts.