Determine if √9 is rational or irrational and give a reason for your answer.

it is the square root of a perfect square

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 a decimal that terminates

1 answer

The square root of 9 is \( \sqrt{9} = 3 \). Since 3 can be expressed as a fraction \( \frac{3}{1} \), it is a rational number.

Thus, the correct reason for why \( \sqrt{9} \) is rational is:

It is the square root of a perfect square.