The expression is .

The perfect square less than 40 is 36.

The perfect square greater than 40 is 49.

The compound inequality is .

(Identify perfect squares closest to 40)

(Take positive square root of each side)

(Write 36 as and 49 as )

(Cancel squares and roots)

36 is closer to 40 than to 49, so the nearest integer, .

The square root to the nearest integer is 6.

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