[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
√r + 2/√r = 4. What is the value of r + 4/r?
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- Max@Math Revolution
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(a+b)² = a² + b² + 2abMax@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
√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
(√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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