$\"\"$

The expression is $\"\"$ .

The perfect square less than 587 is 576.

The perfect square greater than 587 is 625.

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 587)

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

$\"\"$ (Write 576 as $\"\"$ and 625 as $\"\"$ )

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

576 is closer to 587 than to 625, so the nearest integer, $\"\"$ . $\"\"$

The square root to the nearest integer is 24.