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andrewjohn8
GMAT Focus 1: 645 Q80 V88 DI78 
Posts: 34
Updated on: 20 Jul 2024, 14:36
Originally posted by andrewjohn8 on 20 Jul 2024, 13:37.
Last edited by Bunuel on 20 Jul 2024, 14:36, edited 3 times in total.
Last edited by Bunuel on 20 Jul 2024, 14:36, edited 3 times in total.
Formatted the question.
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D
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81% (01:02) correct
19%
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Which of the following is equal to \(\frac{12 + \sqrt{28}}{\sqrt{9 + 7}}\)?
A. \(\frac{12 + 2\sqrt{7}}{3+\sqrt{7}}\)
B. \(3+2\sqrt{7}\)
C. \(3+\sqrt{7}\)
D. \(3 + \frac{\sqrt{7}}{2}\)
E. \(6\)
A. \(\frac{12 + 2\sqrt{7}}{3+\sqrt{7}}\)
B. \(3+2\sqrt{7}\)
C. \(3+\sqrt{7}\)
D. \(3 + \frac{\sqrt{7}}{2}\)
E. \(6\)
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20 Jul 2024, 14:40
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andrewjohn8
\(\frac{12 + \sqrt{28}}{\sqrt{9 + 7}}=\)
\(=\frac{12 + 2\sqrt{7}}{\sqrt{16}}=\)
\(=\frac{12 + 2\sqrt{7}}{4}=\)
\(=3+\frac{\sqrt{7}}{2}\).
Answer: D.
21 Jul 2024, 05:20
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andrewjohn8
Time and again I have found these questions simplest and fastest using approximation
\(\frac{12 + \sqrt{28}}{\sqrt{9 + 7}}\) = (12+5.2)/√16 = 17.2/4 = 4.3
Let's check options
A. \(\frac{12 + 2\sqrt{7}}{3+\sqrt{7}}\) = Hard to approximate, Let's come back later to this
B. \(3+2\sqrt{7}\) = 3+2*2.7 = 8.4 OUT
C. \(3+\sqrt{7}\) = 3+2.7 = 5.7 OUT
D. \(3 + \frac{\sqrt{7}}{2}\) = 3+(2.7/2) = 3+1.3 = 4.3 CLOSEST
E. \(6\) OUT
Answer: Option D
