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sqrt63
[#permalink]
10 Mar 2022, 04:00
10 Mar 2022, 04:00
Expert Reply
00:00
Question Stats:
77% (00:22) correct
22% (00:26) wrong based on 18 sessions
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Quantity A |
Quantity B |
\(\sqrt{63}\) |
\(3 \sqrt{7}\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
sqrt63
[#permalink]
10 Mar 2022, 06:16
10 Mar 2022, 06:16
1
Carcass wrote:
Quantity A |
Quantity B |
\(\sqrt{63}\) |
\(3 \sqrt{7}\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
APPROACH #1: Use the onscreen calculator to evaluate both quantities.
We get:
QUANTITY A: ≈ 7.937
QUANTITY B: ≈ 7.937
Answer: C
APPROACH #2: Apply property of roots
Useful property: \(\sqrt{xy} = (\sqrt{x})(\sqrt{y})\)
Take: \(\sqrt{63}\)
Rewrite as follows: \(\sqrt{9 \times 7}\)
Apply property to rewrite as: \((\sqrt{9})(\sqrt{7})\)
Simplify: \(3\sqrt{7}\)
Answer: C
gmatclubot
sqrt63 [#permalink]
10 Mar 2022, 06:16
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