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Q: Is the sum of two whole consecutive numbers is never a square number?

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If you mean consecutive numbers that are prime? than the answer is 2,3 are consecutive numbers which are prime. except for this pair it is impossible for consecutive numbers to be prime because every second number is multiple of 2

No, it never is.No, it never is.No, it never is.No, it never is.

If the average of 3 numbers is 37 then the sum of those numbers = 37 * 3 = 111. Which is an odd number. Adding together even numbers never results in an odd number. Therefore the 3 numbers can not be even numbers; consecutive or otherwise. The question can not be answered.

There are a few problems here. I'll mention only the smaller ones: -- 1.7 is a mixed number. There's nothing you can do to it, without changing its value, that can turn it into an integer. -- The concept of "consecutive" involves the relationship between two numbers. A single number is never 'consecutive'.

Numbers are either irrational (like the square root of 2 or pi) or rational (can be stated as a fraction using whole numbers). Irrational numbers are never rational.

Usually the square of a number is greater than the original number (2x2=4, -2x-2=4) wherther the number is negative or positive. The square of 1 is the same (1x1=1) but the square of -1 is greater (-1x-1=1) The square of positive decimal numbers is smaller than the original number (0.1x0.1=0.01) and the square of negative decimal numbers is larger than the original number (-0.1x-0.1=0.01)

no. irrational numbers are square roots of numbers that aren't square, pi, and some other numbers. irrational means it never ends.

you never said the number/numbers!

Sometimes.The square root of a positive number is positive.The square root of zero is zero.The square root of a negative number is a complex number - if you want only real numbers, you can say that it is undefined, and many calculators will give you an error message.

It is true that the square root of a prime number like 11 is never a whole number. But to say that that has never been proven is incorrect. The square root of any positive integer that is not a square number (the square of an integer) is always irrational, and that is relatively easy to prove. To prove that prime numbers are not square numbers is even easier. That is basically true by definition. If a number greater than 1 were a square number, its square root would be a factor other than 1 and itself; therefore, it would not be a prime number.Answer 1No - the square root of 11 is not a whole number. 11 is prime so it has no factors except itself and 1, anyways.Any prime number has no square root that is a whole number or integer. (That postulate has not been proven, but it has not been disproven so it is accepted as true.)

Remember that when two numbers with the same sign are multiplied,their product is always positive.

That can never be an even number.

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