√14 is between 3 and __

1 answer

To find what \( \sqrt{14} \) is between, we first need to determine the square roots of perfect squares close to 14.

The perfect squares near 14 are:

  • \( 3^2 = 9 \)
  • \( 4^2 = 16 \)

Since \( 9 < 14 < 16 \), we can conclude that:

\[ 3 < \sqrt{14} < 4 \]

Calculating \( \sqrt{14} \) gives approximately \( 3.74 \).

Therefore, \( \sqrt{14} \) is between 3 and 4.

So, the answer is:

\[ \text{3 and 4} \]