Determine if √36 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 does not repeat or terminate

it is a decimal that terminates

it is the square root of a non-perfect square

it is a decimal that repeats

1 answer

The square root of 36 is \( \sqrt{36} = 6 \).

Since 6 is a whole number, it can be expressed as a fraction (for example, \( \frac{6}{1} \)). Therefore, \( \sqrt{36} \) is a rational number.

The correct reason from the provided options is: it is the square root of a perfect square.