Math Problem Statement
Evaluate the expression √-16 and write the result in the form a+bi .
Solution
The expression involves taking the square root of a negative number, which requires using imaginary numbers. We know that:
Thus, can be rewritten as:
So, the result in the form is:
Would you like further explanation or details?
Here are 5 related questions for practice:
- What is in the form ?
- How do you simplify ?
- What is known as?
- Convert to the form .
- How do you handle square roots of negative numbers in general?
Tip: When dealing with square roots of negative numbers, always factor out first!
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Math Problem Analysis
Mathematical Concepts
Imaginary Numbers
Complex Numbers
Square Roots of Negative Numbers
Formulas
√-1 = i
√(a * b) = √a * √b
Theorems
Properties of Imaginary Numbers
Suitable Grade Level
Grades 8-10