$\"\"$

The expression is $\"\"$ .

The perfect square less than 10.2 is 9.

The perfect square greater than 10.2 is 16.

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 10.2)

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

$\"\"$ (Write 9 as $\"\"$ and 16 as $\"\"$ )

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

9 is closer to 10.2 than to 16, so the nearest integer, $\"\"$ . $\"\"$

The square root to the nearest integer is 3.