# What is the conjugate of 5+12i+5-12i5+12i-5-12i? - Mathematics

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Sum

What is the conjugate of (sqrt(5 + 12i) + sqrt(5 - 12i))/(sqrt(5 + 12i) - sqrt(5 - 12i))?

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#### Solution

Let z = (sqrt(5 + 12i) + sqrt(5 - 12i))/(sqrt(5 + 12i) - sqrt(5 - 12i)) xx (sqrt(5 + 12i) + sqrt(5 - 12i))/(sqrt(5 + 12i) + sqrt(5 - 12i))

= (5 + 12i + 5 - 12i + 2 sqrt(25 + 144))/(5 + 12i - 5 + 12i)

= 3/(2i)

= (3i)/(-2)

= 0 - 3/2 i

Therefore, the conjugate of z = 0 + 3/2 i.

Concept: The Modulus and the Conjugate of a Complex Number
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 23 | Page 88

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