Practice Objectives
- Demonstrate the ability to simplify the square root of a negative number
- Demonstrate the ability to multiply and divide square roots of negative numbers
Practice Simplifying Square Roots of Negative Numbers
Instructions:
Answer 7/10 questions correctly to pass.
Simplify each.
Note: Since i represents the square root of -1, you must algebraically eliminate i from any denominator.
Problem:
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Simplifying Square Roots of Negative Numbers:
- For any positive real number b:
- $$\sqrt{-b} = i\sqrt{b}$$
- When multiplying or dividing square roots of negative numbers:
- Change the form using the imaginary unit before performing any multiplication or division operations
- Use the product/quotient rule for radicals to simplify
- Use the definition i2 = -1 to simplify
Step-by-Step:
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