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5 < sqrt of n < 6

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Carcass
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5 < sqrt of n < 6 [#permalink] New post   07 Dec 2021, 11:13
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\(5 < \sqrt{n} < 6\)


Quantity A
Quantity B
\(n^2 \)
\(500\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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GreenlightTestPrep
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5 < sqrt of n < 6 [#permalink] New post   07 Dec 2021, 11:24
Carcass wrote:
\(5 < \sqrt{n} < 6\)

Quantity A
Quantity B
\(n^2 \)
\(500\)



Given: \(5 < \sqrt{n} < 6\)

Square all three parts to get: \(25 < n < 36\)

Square all three parts to get: \(625 < n^2 < 1296\)

Since \(500 < 625\), we get: \(500 < 625 < n^2 < 1296\), at which point it's clear that \(500 < n^2\)

Answer: A
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5 < sqrt of n < 6 [#permalink]
07 Dec 2021, 11:24
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