Question

Add the two complex numbers 6 + 7i and 10 + 2i

Answer 1

✩ Answer:

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✩ Step-by-step explanation:

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1.)
`6+7i`:

✺ The modulus of a complex number is:

• 
  `a+bi` is
  `√(a^2+b^2)`

✺ The modulus of
`6+7i` is:

• 
  `√(85)` ≈
  `9.219544457`

2.)
`10 + 2i`:

✺ The modulus of a complex number is:

• 
  `a+bi` is
  `√(a^2+b^2)`

✺ The modulus of
`10 + 2i` is:

• 
  `2√(26)` ≈
  `10.198039027`

3.)
`6+7i+10 + 2i`:

✺ Combine the real and imaginary parts in
`6+7i+10+2i`:

• 
  `|6+10+(7+2)i|`

✺ Do the additions in
`6+10+(7+2)i`:

• 
  `|16+9i|`

✺ Solve the complex modulus using the formula:

• 
  `a+bi` is
  `√(a^2+b^2)`

✺ The modulus of
`16+9i` is:

• 
  `√(337)` ≈
  `18.357559751`

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