Oh, what a happy little math question we have here! Let's see, if we take the square root of 51, we find that it's between the square numbers 7 and 8. The square of 8 is 64, and the square of 7 is 49. So, the square numbers that have a difference of 51 are 64 and 49.
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The square root of 51 is approximately 7.141. Two numbers that lie between the square root of 51 are 7 and 8. This is because 7^2 is 49, which is less than 51, and 8^2 is 64, which is greater than 51.
Suppose the numbers are A2and B2Then A2- B2= 51that is, (A + B)*(A - B) = 51so A + B = 51 and A - B = 1 which gives A = 26 and B = 25or A + B = 17 and A - B = 3 which gives A = 10 and B = 7The square numbers are, therefore, (676, 625) or (100, 49)
51 3, 17
3, 17