Is the square root rational?
Understand the Problem
The question is asking whether the square root of a number can be expressed as a rational number. This involves understanding the properties of square roots and rational numbers.
Answer
The square root of a non-perfect square is irrational, and the square root of a perfect square is rational.
The final answer is that the square root of a non-perfect square is irrational, and the square root of a perfect square is rational.
Answer for screen readers
The final answer is that the square root of a non-perfect square is irrational, and the square root of a perfect square is rational.
More Information
A perfect square is a number that is the square of an integer. For example, 4 is a perfect square because it is 2^2. The square root of a perfect square returns the original integer, making it a rational number. Non-perfect squares result in non-terminating, non-repeating decimals.
Sources
- Identifying Rational and Irrational Numbers - Lumen Learning - courses.lumenlearning.com
- How do I know if a square root is irrational? + Example - Socratic - socratic.org
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