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Question 3) Prove that there is a positive integer that can be written as the sum of squares of positive integers in two different ways. [Hint: use the facts the square of a +ve integer is positive integer, the summation of two +ve integer is a positive integer]​

Sagot :

The statement about a positive integer being expressed as the sum of the squares of 2 positive integers has been proved below.

  • Positive integers are simply positive whole numbers. They don't include fractions or decimals. Examples of positive integers are; 1, 2, 3, 4, 5.....e.t.c.

  • Now, we want to prove that there is a positive integer that can be expressed as the sum of squares of positive integers.

For example;

a² + b² = c

where a, b and c are positive integers

If we use a = 2 and b = 4, we will have;

2² + 5² = c

c = 4 + 25

c = 29

  • Now, we can see that the sum of the squares of the positive integers 2 and 5 also yielded a positive integer 29.

  • Also, we see the facts that, the square of the positive integer 2 gave us a positive integer 4.

  • Also, the square of the positive integer 5, gave us a positive integer 25.

  • Thus, the sum of both positive integers gave us a positive integer 29 and the statement in the question is proved.

Read more at; https://brainly.com/question/13304177

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