Is the square root of 25 a whole number?
Understand the Problem
The question is asking whether the square root of 25 results in a whole number. To solve this, we need to compute the square root of 25 and determine if the result is an integer.
Answer
Yes, the square root of 25 is 5.
Answer for screen readers
Yes, the square root of 25 results in a whole number, which is 5.
Steps to Solve
- Calculate the square root of 25
To find out if the square root of 25 is a whole number, we first calculate it. The square root of a number $x$ is a value $y$ such that $y^2 = x$. For our case:
$$ \sqrt{25} $$
- Determine the result
Now, let's calculate the value:
$$ \sqrt{25} = 5 $$
This means that $5^2 = 25$.
- Check if the result is a whole number
Since $5$ is a whole number, we can conclude that the square root of 25 is indeed an integer.
Yes, the square root of 25 results in a whole number, which is 5.
More Information
The square root of a perfect square (like 25) is always a whole number. In this case, 25 is a perfect square because it can be expressed as $5 \times 5$.
Tips
Common mistakes include:
- Confusing square roots with other operations, such as squares.
- Forgetting that both positive and negative numbers can produce the same square when squared (though in this case we only consider the principal square root for whole numbers).
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