What is the modulus of the complex number 3 + 4i? (2023)
Practice Questions
Q1
What is the modulus of the complex number 3 + 4i? (2023)
5
7
1
4
Questions & Step-by-Step Solutions
What is the modulus of the complex number 3 + 4i? (2023)
Step 1: Identify the complex number. In this case, the complex number is 3 + 4i.
Step 2: Recognize that the modulus of a complex number is calculated using the formula √(a^2 + b^2), where 'a' is the real part and 'b' is the imaginary part.
Step 3: Identify the real part (a) and the imaginary part (b) from the complex number. Here, a = 3 and b = 4.
Step 4: Square the real part: 3^2 = 9.
Step 5: Square the imaginary part: 4^2 = 16.
Step 6: Add the two squared values together: 9 + 16 = 25.
Step 7: Take the square root of the sum: √25 = 5.
Step 8: Conclude that the modulus of the complex number 3 + 4i is 5.
