number theory zoom class 2
d != 2,3,7,8 since no perfect square ends in these digits. d != 1 since that will give remainder 3 div by 4 but P.S. mod 4 = 0,1 and using the similar logic d != 5,6,9 Only values of d = 0,4 So 22 such perfect squares which are 3 digits. Case 2: d = 4 So here we are multiplying 3 numbers, each of which is a multiple of 3 but not a multiple of 9. So eventually after multiplying all 3 we will get a number which will be 27*something. A p.s. should have even power of each factor. So it's not a perfect square.
