a. B is a non-zero natural number, a is not equal to B, 90a + 102b is just a complete square number, find the minimum value of a + B

90A+102B=6*(15A+17B)
If it is a perfect square, then there should be a factor 6 in 15 + A + 17b, where a is a multiple of 17 and B is a multiple of 15
therefore
A min = 17 * 6 B min = 15 * 6
(a + b) min = (17 + 15) * 6 = 192

RELATED INFORMATIONS

1. Let the square number y ^ 2 be the sum of 11 consecutive positive integers, and find the minimum value of the positive integer y
2. The product of natural number a multiplied by 168 is a complete square number, and the minimum value of a is obtained
3. A is a non-zero natural number, the largest of which is 1. Ax 3 / 4 2. Ax1 3. A ／ 1 4. A ／ 3 / 4
4. A is a non-zero natural number. The largest number in the following formula is () A. A × 3 / 4 B.A △ 3 / 4 C.A △ 1 and 1 / 3
5. A is a non-zero natural number. The largest number in the following formula is? A: 2 / 5 B. a multiplied by 2 / 5 C. A is 7 / 5
6. A is a non-zero natural number. In the following formula () has the largest number, a divided by one tenth, four tenths multiplied by a, and a divided by five fourths. Why
7. Observe the following equation: 1 & sup2; - 0 & sup2; = 1,2 & sup2; - 1 & sup2; = 3,3 & sup2; - 2 & sup2; = 5,4 & sup2; - 3 & sup2; = 7 With the natural number n
8. For the natural number 1,2,3,..., n has 1 & sup3; + 2 & sup3; + 3 & sup3; +... + n & sup3; = [n (n + 1) / 2] & sup2;, that is 1 & sup3; + 2 & sup3+ For this equation, we propose a question, if the sequence {an}, has an > 0, and satisfies the equation (A1 & sup3; + A2 & sup3; +. + an & sup3;) = (a1 + A2 + a3 +.. + an) & sup2;, is an = n tenable? If it is tenable, prove it; otherwise, give a counter example
9. If the letter N is used to represent an integer, then the odd number is () and the even number is ()
10. N is an integer, and an algebraic expression containing N is used to express that two consecutive odd numbers are integers______ Two consecutive even numbers are______ ．
11. If the product of natural number a multiplied by 2376 is the square of natural number B, then a is the smallest______ ．
12. It is proved that if the limit of sequence xn is a, then for any natural number k, the limit of sequence xn + k is a
13. It is proved that n continuous natural numbers can be divided by 1x2x3x4x.xn
14. In the product 1 × 2 × 3 × The tail of x n has exactly 106 continuous zeros
15. Given that the tail of n! Has exactly 106 consecutive zeros, what is the maximum value of natural number n?
16. One half equals 0.5, two fifths equals () twelve fifths equals () one eighth equals ()
17. 3. 2 / 5-1 / 3 + 1 / 2 4, 5 / 8 + 2 / 5-3 / 16
18. If 1, negative half, one third, negative quarter and one fifth are arranged in a tower, what is the fifth number in line 100
19. The following is a group of numbers arranged in the form of a tower, the first line is 1, the second line is 1 / 2, the third line is 1 / 3, the third line is 1 / 4, the fifth line is 1 / 6, among which
20. 1、 One half, one third, one fourth, one fifth, one sixth What's the number 50? What's the number 2013?