How many positive integers n with \(n\le 500\) have square roots that can be expressed in the form \(a\sqrt{b}\) where a and b are integers with\(a\ge 10\) ?
There are 23 such numbers as follows:
(100, 121, 144, 169, 196, 200, 225, 242, 256, 288, 289, 300, 324, 338, 361, 363, 392, 400, 432, 441, 450, 484, 500) =23 such numbers.
You can write each number as: 100 =10sqrt(1), 200 =10Sqrt(2), 288=12sqrt(2)......and so on.
Thank you
