The expression is
.
The perfect square less than 17 is 16.
\The perfect square greater than 17 is 25.
\The compound inequality is
.
(Identify perfect squares closest to 17)
(Take positive square root of each side)
(Write 16 as
and 25 as
)
(Cancel squares and roots)
16 is closer to 17 than to 25, so the nearest integer,
.
The square root to the nearest integer is
.