Complex Imaginary Number Review

Rationalize the denominator and simplify completely.

Simplify √-23

• -√23

• 23i

• 23

• i√23

Multiply:

(2 - 5i)(2 + 5i)

• 29

• 4 - 25i

• 25 - 10i

• -21

Calculate:
-4 (13 + 5i) 

• -52 − 20i

• 9 + i

• 17 − 20i

• -52 + 20i

Calculate (multiply):
(1 − 2i)(6 + 5i)

• 16 − 7i

• -16 + 7i

• -16 − 7i

• 16 + 7i

6i (-5 + 10i)

• -30i + 60i²

• 30i − 16i²

• 11i + 60i²

• -11i²+ 16i

Calculate (multiply):
 (4 + 3i)(4 − 3i)

• 16 − 9i²

• 25

• 7

• 8 − 6i

(5 − 3i) + (-6 + 2i)

• -1 -1i

• 11 + 5i

• -11 −  5i

• 11 − 1i

Simplify: √-64

• -8

• 8i

• -8i

• 8

Simplify: √-25

• 5

• -5

• 5i

• -5i