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| PAGE: 526 | SET: Exercises | PROBLEM: 37 |
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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