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√r + 2/√r = 4. What is the value of r + 4/r?

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√r + 2/√r = 4. What is the value of r + 4/r?

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[GMAT math practice question]

√r + 2/√r = 4. What is the value of r + 4/r?

A. 12
B. 14
C. 16
D. 32
E. 64

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Max@Math Revolution wrote:
[GMAT math practice question]

√r + 2/√r = 4. What is the value of r + 4/r?

A. 12
B. 14
C. 16
D. 32
E. 64
(a+b)² = a² + b² + 2ab

√r + 2/√r = 4
(√r + 2/√r)² = 4²
(√r)² + (2/√r)² + 2(√r)(2/√r) = 16
r + 4/r + 4 = 16
r + 4/r = 12

The correct answer is A.

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=>

(√r + 2/√r)^2 = r + 2(√r)(2/√r) + 4/r = r + 4/r + 4 = 4^2 = 16
So, r + 4/r = 16 -4 = 12.

Therefore, A is the answer.
Answer: A

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Only $149 for 3 month Online Course
Free Resources-30 day online access & Diagnostic Test
Unlimited Access to over 120 free video lessons-try it yourself
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