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Introduction to Imaginary Numbers - Problem 5

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

Up until now, if you were faced with the square root of a negative number, you would have written "no real solutions." This is true- but now we will begin to look at imaginary numbers based on the definition that i = square root of negative one. Along those lines, i squared is negative one. Your goal in simplifying square roots of negative expressions is to re-write them as negative one times something. From there, simplify as you would a non-negative radical by looking for perfect square factors.

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