Answer:
Step-by-step explanation:
(-5 - 4i)(-5 + 4i)
25 - 20i + 20i - 16 i^2
25 + 16
41 + 0i
Given complex number is (-5 - 4i).
Therefore, conjugate of this number will be (-5 + 4i)
[Conjugate of a complex number (a + bi) is (a - bi)]
Multiplication of the number and the conjugate of this number will be,
(-5 - 4i)(-5 + 4i) = (-5)² - (4i)²
= 25 - (16i²)
= 25 - (16)(-1) [Since, i² = (-1)]
= 25 + 16
= 41
It can be written in the form a complex form → (41 + 0.i)
Therefore, a = 41 and b = 0.
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