applications

Start Free Trial

Squared complex numbers. Square (4+3i)^2.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We have to find the square of (4+3i)

(4+3i)^2

=> (4+3i)(4+3i)

=> 4*4 + 4*3*i + 4*3*i + 3*i*3*i

=> 16 + 12i + 12i + 9i^2

i^2 = -1

=> 16 + 24i - 9

=> 7 + 24i

The required square is 7 + 24i

Approved by eNotes Editorial Team