$\"\"$

The expression is $\"\"$ .

The perfect square less than 40 is 36.

The perfect square greater than 40 is 49.

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 40)

$\"\"$ (Take positive square root of each side)

$\"\"$ (Write 36 as $\"\"$ and 49 as $\"\"$ )

$\"\"$ (Cancel squares and roots)

36 is closer to 40 than to 49, so the nearest integer, $\"\"$ . $\"\"$

The square root to the nearest integer is 6.