Question

Find the magnitude of 6+2i

Answer 1

The magnitude of 6 + 2i is 2√10.

Step-by-step explanation:

To find the magnitude of the complex number 6 + 2i, we can use the Pythagorean theorem. The magnitude, or absolute value, of a complex number is found by taking the square root of the sum of the squares of its real and imaginary parts. In this case, the real part is 6 and the imaginary part is 2. So the magnitude is:

|6 + 2i| = √(6^2 + 2^2) = √(36 + 4) = √40 = 2√10

Therefore, the magnitude of 6 + 2i is 2√10.

Answer 2

For complex number, the magnitude is pretty straight forward:

sqrt(6^2 + 2^2) = sqrt(40)

For any a + bi, the magnitude will be sqrt(a^2 + b^2)