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Q: What is 84 as the sum of 4 square numbers?

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30

The numbers are: 80 and 4

4 is the only square number that is a factor of 84. No square number is a factor of 105.

-3

(11 x 4) + (10 x 4) = 21 x 4 = 84

to find the root-sum square of n numbers you square each number, add them, then take square root of sum For exanple root sum square of 2,3, and 4 is square root of (4+9+16) = sqrt(29) = 5.39

63 and 49

40 + 44 = (10 x 4) + ( 11 x 4) = 21 x 4 = 84

25= 5*5 = (3*3)+(4*4)

(4 x 11) + (4 x 10) = 4 x 21 = 84

The numbers are 3, and 4.

There is no particular characteristic that is common to such numbers other than they are positive integers greater than or equal to 4.

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