Answer:
The square root of 25 is [rational] because [It is the square root of a perfect square].
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Step-by-step explanation:
Here, we are asked to determine if the square of 25 is rational or irrational, but let's take a look at the definitions of rational and irrational numbers.
Rational Numbers
Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Some examples of rational numbers are 1/2, 3/4, -5/8, 7, and [tex]\sqrt {4}[/tex]. For a square root to be rational, the number under the radical sign must be a perfect square.
Irrational Numbers
Irrational numbers are the opposite. They are numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimals. Some examples are [tex]\sqrt {2}[/tex], π, 3.14159
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Taking a look back at the question, square root of 25 can be rewritten as [tex]\sqrt {25} = \sqrt {5 \times 5}= 5[/tex].
Therefore, [tex]\sqrt {25}[/tex] is rational because it is the square root of a perfect square.