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505-555 (Easy)|   Algebra|      
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Bunuel
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(√5 + 2)/(√5 – 2) = 07 Jan 2022, 06:15
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Difficulty:

15% (low)

Question Stats:

86% (01:10) correct 14% (01:55) wrong based on 70 sessions

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\(\frac{(√5 + 2)}{(√5 – 2)} =\)

A. 4
B. √5 + 2
C. 9
D. 9 + 4√5
E. 25
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IanStewart
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GMAT 1: 780 Q51 V47
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(√5 + 2)/(√5 – 2) = 07 Jan 2022, 06:28
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If we multiply the numerator and denominator by √5 + 2, the denominator becomes (√5 - 2)(√5 + 2) = 5 - 4 = 1, and because we're now dividing by 1, the numerator becomes the answer, (√5 + 2)(√5 + 2) = 5 + 4√5 + 4 = 9 + 4√5.
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(√5 + 2)/(√5 – 2) = 07 Jan 2022, 06:29
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