Square Roots of Negative Numbers ! ⭐

what’s one thing to remember?

• i = √-1

• we will use this in solving these negative radicals

simplify: √-9

• rewrite as √-1(9)

• write as a new equation: √-1 * √9

  • take the square root → i * 3

• answer is 3i

simplify: √-441

• rewrite as √-1(441)

• write new equation √-1 * √441

  • take the square roots → i * 21

• answer is 21i

simplify: √-150

• notice how this is NOT a perfect square so we solve it differently

• √-150 = √-1(25)(6)

  • 25 is a perfect square

• new equation: √-1 (√25) (√6)

• answer is 5i√6

simplify: √-150 (other method)

• you can also solve negative non-perfect square numbers with the factor tree !