Checkpoint: Negative Square Roots Solutions

Simplify.

$i \sqrt{10^{2}} 10 i$

$i \sqrt{99} i \sqrt{3^{2} \cdot 11} 3 i \sqrt{11}$

Note

Remember to simplify $\sqrt{- 1}$ from the radicand first. This becomes important to the next part of the lesson.

Q: Why are the answers so different when the radicands only have a difference of one?

A: Sample: Because 100 is a perfect square and 99 is not.

Q: If you multiplied A and B together, would the answer be positive or negative? Explain.

A: The answer would be negative because $i^{2} = - 1$ , which would be part of the coefficient.