Bunuel wrote:
The square root of 800 is between which of the following integers?
A. 21 and 25
B. 24 and 28
C. 27 and 31
D. 30 and 34
E. 33 and 37
Let's test a few squares that are close to 800.
For example, since 30² = 900, we know that √900 = 30
Since 800 is
less than 900, we know that √800 will be
less than 30
Eliminate answer choices D and E
Similarly, since 25² = 625, we know that √625 = 25
Since 800 is
greater than 625, we know that √800 will be
greater than 25
Eliminate answer choice A
From here, we'll test one more value...
Since 28² = 784, we know that √784 = 28
Since 800 is
greater than 784, we know that √800 will be
greater than 28
Eliminate answer choice B
Answer: C
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