$\"\"$

The expression is $\"\"$ .

The perfect square less than 38 is 36.

The perfect square greater than 38 is 49.

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 38)

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

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

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

$\"\"$

The nearest integer is 6.