If 1 ≤ a ≤ 10 and 1 ≤ b ≤ 36, for how many ordered pairs of integers (a,b) is √ (a + √ b) an integer?
sqrt [ a + sqrt b ]
b must be 1, 4 , 9 , 16, 25 or 36
b a
1 3, 8
4 2, 7
9 1, 6
16 5
25 4
36 3,10
(10 ordered pairs)
+288 
