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

  1. 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:

$$ \sqrt{25} = 5 $$

  1. 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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