Find the sum of the square roots of the two numbers?

Question

The arithmetic mean of two numbers is 12. Their geometric mean is 8. Find the sum of the square roots of the two numbers

Answer 1

math sucks!!!! my mom thinks its 4.

Answer 2

(a+b)/2 =12

a+b=24

a/8 = 8/b

ab=64, sqrt ab =8

(sqrt a + sqrt b)^2 = a +2sqrt(ab) +b =24 +2(8) =40

sqrt a +sqrt b =sqrt40=2sqrt10

Answer 3

4