The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.
<h3>What is the multiplication of a complex number and its conjugate</h3>
Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:
(a + i b) · (a - i b)
Then, we proceed to obtain the result by some algebraic handling:
a · (a + i b) + (- i b) · (a + i b)
a² + i a · b - i a · b - i² b²
a² - i² b²
a² + b²
If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:


To learn more on complex numbers: brainly.com/question/10251853
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Answer:7 2/5
Step-by-step explanation:
Answer:
b = 33°
Step-by-step explanation:
A full circle is 360°.
360° - 296° - 31° = b
360° - 296° - 31° = 33°
Answer:
total earning is $64.80
Step-by-step explanation:
Price of one work = $18.00
Payment by owner = 1/4 of $18.00
= 18/4
= $4.50
Earning by tip = 20% of $18.00 = 20/100 x18 = 3.60
Total earning from one work = $4.50+$3.60
= $ 8.10
Earning from 8 tips = 8x8.10
= $64.80