Final answer:
To identify the type of solution, it is essential to understand the nature of the number obtained. Rational, Irrational, Real, and Complex are different categories of numbers, and determining the correct type involves checking the characteristics and reasonableness of the solution.
Step-by-step explanation:
The question is asking to identify the type of a numerical solution, where the options given are Rational, Irrational, Real, and Complex. When solving mathematical problems, it's essential to determine the nature of the solution. To do this, you need to know the definitions of these types of numbers. A Rational number is any number that can be expressed as a fraction or quotient of integers, where the denominator is not zero. An Irrational number cannot be expressed as a simple fraction and has an infinite, non-repeating decimal expansion. Real numbers consist of all the rational and irrational numbers. Complex numbers include all real numbers and also numbers with an imaginary unit.
Once you've calculated the solution, examine if the answer makes sense and is consistent with the mathematical rules of these types of numbers. Don't forget to check the magnitude, direction, and units of your answer, if applicable, to ensure that the solution is reasonable. This practice becomes progressively simpler with experience in mathematical problem-solving.