Determine if square root of, 9, end square root

Question

9
​
is rational or irrational and give a reason for your answer.

Answer 1

To determine whether \( \sqrt{9} \) is rational or irrational, we first calculate the square root:

\[ \sqrt{9} = 3 \]

The number 3 is an integer, and all integers are also rational numbers because they can be expressed as a fraction (for example, \( 3 = \frac{3}{1} \)).

Thus, \( \sqrt{9} \) is a rational number.

Summary:

• \( \sqrt{9} = 3 \)
• 3 is a rational number (can be expressed as \( \frac{3}{1} \))
• Therefore, \( \sqrt{9} \) is rational.