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If z = 3 + 4i, what is the modulus of z? (2021)

Practice Questions

Q1
If z = 3 + 4i, what is the modulus of z? (2021)
  1. 5
  2. 7
  3. 25
  4. 12

Questions & Step-by-Step Solutions

If z = 3 + 4i, what is the modulus of z? (2021)
  • Step 1: Identify the complex number z, which is given as z = 3 + 4i.
  • Step 2: The modulus of a complex number z = a + bi is calculated using the formula |z| = √(a^2 + b^2).
  • Step 3: In our case, a = 3 and b = 4.
  • Step 4: Calculate a^2, which is 3^2 = 9.
  • Step 5: Calculate b^2, which is 4^2 = 16.
  • Step 6: Add the results from Step 4 and Step 5: 9 + 16 = 25.
  • Step 7: Take the square root of the sum from Step 6: √25 = 5.
  • Step 8: Therefore, the modulus of z is 5.
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