Math Problem Statement
Express in terms of i. StartRoot negative 7 EndRoot Question content area bottom Part 1 StartRoot negative 7 EndRootequals enter your response here (Simplify your answer. Type your answer in the form aplusbi.)
Solution
To express in terms of :
Recall that:
Thus:
So the expression simplifies to:
This is in the form , where and . Therefore, the simplified answer is:
Would you like further details or have any questions?
Here are 5 related questions:
- How would you simplify ?
- What is the result of ?
- How do you multiply two complex numbers, such as ?
- What is the magnitude of ?
- How would you express in terms of ?
Tip: When dealing with square roots of negative numbers, always remember to factor out to express it in terms of imaginary numbers.
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Imaginary Numbers
Formulas
√-a = i√a
Theorems
Imaginary Unit Definition: i² = -1
Suitable Grade Level
Grades 9-11