The expression is .
The perfect square less than 78 is 64.
\The perfect square greater than 78 is 81.
\The compound inequality is .
(Identify perfect squares closest to 78)
(Take positive square root of each side)
(Write 64 as
and 81 as
)
(Cancel squares and roots)
81 is closer to 64 than to 64, so the nearest integer, .
The square root to the nearest integer is .