Math Problem Statement
√(-49)x
Solution
The expression you provided, , contains the square root of a negative number. In mathematics, the square root of a negative number involves complex numbers.
Here, is the imaginary unit, which satisfies . So, the expression becomes:
Thus, the simplified form of the expression is , where represents the imaginary unit.
Would you like more details on imaginary numbers or complex expressions?
Here are some related questions for further practice:
- What is ?
- How would you simplify ?
- What is the product of ?
- What is the magnitude of the complex number ?
- How do you solve the quadratic equation ?
Tip: When dealing with square roots of negative numbers, remember that they always involve imaginary numbers using .
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Imaginary Numbers
Algebra
Formulas
√(a) × √(b) = √(ab)
√(-1) = i
Theorems
Imaginary Unit Theorem (i^2 = -1)
Suitable Grade Level
Grades 9-12