$\"\"$

The expression is $\"\"$ .

The perfect square less than 500 is 484.

The perfect square greater than 500 is 529.

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 500)

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

$\"\"$ (Write 484 as $\"\"$ and 529 as $\"\"$ )

484 is closer to 500 than to 529, so the nearest integer, $\"\"$ .

$\"\"$

The nearest integer is 22.