What is the absolute value of 6-8i ?
please help me i didn't understand this lesson could someone please explain?
When dealing with complex numbers, the "absolute value" is usually referred to as the modulus or magnitude. It equals the square root of the sum of the squares of the real and imaginary parts, which this case is sqrt(36 + 64) = 10.
thank you so much
To find the absolute value of a complex number, you need to calculate the magnitude or distance from the origin of the complex plane.
In this case, the complex number is 6-8i. The absolute value is given by the formula:
|a + bi| = √(a^2 + b^2)
where a and b are the real and imaginary parts of the complex number.
For our complex number 6-8i, a = 6 and b = -8. Plugging these values into the formula, we get:
|6 - 8i| = √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
So, the absolute value of 6-8i is 10.