Is the square root of 25 rational or irrational?
Understand the Problem
The question is asking whether the square root of 25 is a rational number or an irrational number. A rational number can be expressed as a fraction of two integers, while an irrational number cannot. The square root of 25 is a whole number, which suggests it is rational.
Answer
The square root of 25 is a rational number.
Answer for screen readers
The square root of 25 is a rational number.
Steps to Solve
- Find the square root of 25
The square root of 25 is the number that, when multiplied by itself, gives 25. We can calculate it as:
$$ \sqrt{25} = 5 $$
- Determine if 5 is a rational number
A rational number can be expressed as a fraction of two integers. In this case, the number 5 can be expressed as:
$$ \frac{5}{1} $$
Since both 5 and 1 are integers, 5 is a rational number.
The square root of 25 is a rational number.
More Information
The square root of 25 is exactly 5, which can be expressed as a fraction, confirming that it is rational. Every whole number is a rational number because it can be written as a fraction with 1 in the denominator.
Tips
- A common mistake is to assume that because a number is a whole number, it might not be considered rational. However, all whole numbers (including 0) are rational because they can be expressed as fractions.
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