Math Problem Statement
Multiply: (√(-9)) * (√(-49))
Solution
Let's analyze the expression:
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The square roots of negative numbers involve imaginary numbers. Specifically:
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Now multiply these two expressions:
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Since , we get:
Thus, the simplified answer is:
Would you like more details on any step?
Here are 5 related questions for practice:
- What is ?
- How do you simplify ?
- Multiply and .
- Simplify .
- What is the result of ?
Tip: Always remember that , which is crucial in simplifying expressions with imaginary numbers!
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Imaginary Numbers
Formulas
√(a) * √(b) = √(a*b)
i^2 = -1
Theorems
Properties of Imaginary Numbers
Suitable Grade Level
High School