The expression is .
The perfect square less than 47 is 36.
\The perfect square greater than 47 is 49.
\The compound inequality is .
(Identify perfect squares closest to 47)
(Take positive square root of each side)
(Write 36 as
and 49 as
)
49 is closer to 47 than to 36, so the nearest integer, .
The nearest integer is 7.