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by ganeshrkamath » Thu Aug 29, 2013 11:58 pm
viskhot wrote:Q:

√[2√63 + 2/(8+3√7)] =

A. 8 + 3√7
B. 4 + 3√7
C. 8
D. 4
E. √7
√[2√63 + 2/(8+3√7)] = √[6√7 + 2/(8+3√7)] ____________ (multiply and divide the second term by (8-3√7)
= √[6√7 + 2(8-3√7)/(64-63)]
= √[6√7 + 2(8-3√7)]
= √[6√7 + 16 - 6√7]
= √16
= 4

Choose D

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by GMATGuruNY » Fri Aug 30, 2013 1:13 am
viskhot wrote:Q:

√[2√63 + 2/(8+3√7)] =

A. 8 + 3√7
B. 4 + 3√7
C. 8
D. 4
E. √7
Since the answer choices are spread out, we can BALLPARK.

√[2√63 + 2/(8+3√7)] ≈ √(2*√64 + fraction) ≈ √(2*8) = 4.

The correct answer is D.
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