$\"\"$

The expression is $\"\"$ .

The perfect square less than 232 is 225.

The perfect square greater than 232 is 256. \ \

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 232)

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

$\"\"$ (Write 225 as $\"\"$ and 256 as $\"\"$ )

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

225 is closer to 232 than to 256, so the nearest integer, $\"\"$ . $\"\"$

The square root to the nearest integer is $\"\"$ .