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505-555 (Easy)|   Algebra|                           
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(1)x + y = 15

x and y can have multiple values like 1 and 14, 2 and 13, etc.

Hence not sufficient to calculate a definite value for √x+ √y

(insufficient) Eliminate A & D

(2) √xy=6
This implies xy = 36 and hence 4,9 or 12,3 or 6,6 can be solutions.

Hence not sufficient to calculate a definite value for √x+ √y

(insufficient) Eliminate B

(1)+(2)
x +y = 15 and xy = 36, hence x, or y are 12 and 3 or 3 and 12 but a definite value for √x+ √y can be obtained.
(sufficient)
(option c)

D.S
GMAT SME

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If x and y are positive integers, what is the value of (x)^1/2 + (y)^1/2?
(1) x + y = 15
(2) (xy)^1/2=6

x + y + 2(xy)^1/2 = 15 + 2*6

now (x)^1/2 + (y)^1/2 has 2 values but as it is written that x and y are both positive, thus only D
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