WILL MARK 5 STARS AND/OR BRAINLIEST FOR WHOEVER GETS IT RIGHT

Determine if the square root of 25 is rational or irrational and give a reason for your answer.

Drop-downs:
The square root of 25 is *Rational or Irrational because *1. It is the square root of a perfect square 2. It is the square root of a non-perfect square 3. it is a decimal that terminates 4. it is apart of a decimal that does not repeat or terminate 5. It is a decimal that repeats



**Also, if you know the answer to the previous question I asked that would be great :)

Respuesta :

Esther

Answer:

The square root of 25 is [rational] because [It is the square root of a perfect square].

[tex]\hrulefill[/tex]

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

[tex]\hrulefill[/tex]

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.