SOLUTION: What is the smallest square number that is the sum of two square numbers. Find two square numbers numbers whose sum is 100. How many square numbers are there between 100 and 1000?
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Question 490372: What is the smallest square number that is the sum of two square numbers. Find two square numbers numbers whose sum is 100. How many square numbers are there between 100 and 1000?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
it is a number which is a square number of , and the sum of and is
and are also square numbers of and
so, or
-two square numbers numbers whose sum is
number could be written as a sum of and
both of these numbers could be written as a square numbers and
so,
; , so largest square less than is
Between and there are square numbers (22 if 100 itself is included since 100 = 102)
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