The expression is .
The perfect square less than 250 is 225.
\The perfect square greater than 250 is 256.
\The compound inequality is .
(Identify perfect squares closest to 250)
(Take positive square root of each side)
(Write 225 as
and 256 as
)
(Cancel squares and roots)
256 is closer to 250 than to 225, so the nearest integer, .
The square root to the nearest integer is .