Find the absolute value of the complex number:
5-4i
You use Pathagoreans theorem. 5^2 + 4^2 = c^2
so 25+16=c^2
The answer is the square root of 41
To find the absolute value of a complex number, you can use the formula:
|a + bi| = √(a^2 + b^2)
In this case, the complex number is 5 - 4i, where the real part is 5 and the imaginary part is -4.
Using the formula, substitute a = 5 and b = -4:
|5 - 4i| = √(5^2 + (-4)^2)
Simplifying the expression:
|5 - 4i| = √(25 + 16)
= √41
Therefore, the absolute value of the complex number 5 - 4i is √41.