Question

question
determine if $sqrt{9}$ is rational or irrational and give a reason for your answer.
answer attempt 1 out of 5
the number $sqrt{9}$ is rational because
it is a decimal that repeats
it is the square root of a non - perfect square
it is a decimal that does not repeat or terminate
it is the square root of a perfect square
it is a decimal that terminates

Explanation:

Step1: Calculate square - root value

$\sqrt{9}=3$ since $3\times3 = 9$.

Step2: Recall rational number definition

A rational number can be written as a fraction $\frac{p}{q}$ where $p,q\in\mathbb{Z}$ and $q
eq0$. The number 3 can be written as $\frac{3}{1}$. Also, 9 is a perfect - square (a number whose square root is an integer).

Answer:

The number $\sqrt{9}$ is rational because it is the square root of a perfect square.