Math Problem Statement
Write the imaginary number in simplified form: the square root of negative 144
Solution
To simplify the square root of a negative number, we use the imaginary unit , which is defined as:
Given the square root of , we can rewrite it as:
Since , the expression simplifies to:
So, the square root of in simplified form is:
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Related Questions:
- What is the square root of in simplified form?
- How do you multiply two imaginary numbers?
- How do you find the magnitude of a complex number?
- What is the cube root of a negative number?
- How do you add and subtract imaginary numbers?
Tip: Remember that imaginary numbers are based on the fundamental property that .
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Math Problem Analysis
Mathematical Concepts
Imaginary Numbers
Square Roots
Formulas
i = √(-1)
√(-a) = √(a) * i
Theorems
Fundamental Property of Imaginary Numbers: i^2 = -1
Suitable Grade Level
Grades 9-11