$\"\"$

The expression is $\"\"$ .

The perfect square less than 84 is 81.

The perfect square greater than 84 is 100.

The compound inequality is $\"\"$ .

$\"\"$ (Identify perfect squares closest to 84) \ \

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

$\"\"$ (Write 81 as $\"\"$ and 100 as $\"\"$ )

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

81 is closer to 84 than to 100, so the nearest integer, $\"\"$ .

$\"\"$

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