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What numbers can be used to show that the square of a number is not always greater than the number 2or -0.5 or 0.5 or -2?
Wiki User
∙ 12y ago
2 because 12 = one
0.5 also because .22 = .04
-0.5 also because -22 = -4
-2 also because -22 = -4
However, if you need an answer, I would go with 2
Wiki User
∙ 12y ago
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Is the square of a number is always greater than the number?
no
Is the square of a rational number always greater than the number?
No.
Why can there not be a prime number that is also a square number?
Square numbers, greater than 1, have more than two factors.
Is a square of a number always bigger than the number?
all of the numbers, except the numbers 1 and below
What is the product of a counting number and itself?
That's the "square" of the number. With counting numbers, the square will always be another counting number.
Is the square of a number is always greater than the number?
no
Is the square of a rational number always greater than the number?
No.
What is a square number greater then 100?
Take any number greater than 10. Multiply it by itself. The answer will be a square number greater than 100 - and there is an infinitey of such numbers.
Is the square of a number always sometimes or never greater than or equal to the number?
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)
The square root of a number x is always less than x?
No. The square roots of numbers between 0 and 1 (not including 0) are greater than or equal to (in the case of 1) the number. The square root of 0.49 is 0.7 for example.
Why can there not be a prime number that is also a square number?
Square numbers, greater than 1, have more than two factors.
Is the LCM of 2 square numbers always another square number?
Yes
Why are the square roots of prime numbers greater than one always rational?
They aren't. The square roots of prime numbers are always irrational.
Is a square of a number always bigger than the number?
all of the numbers, except the numbers 1 and below
Are square numbers always even?
No, but only in the case of the number 1 (12=1) are square numbers odd.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Why is the square of a number always a positive number?
The square of a number is always two numbers multiplied together. A positive times a positive is always positive, and a negative times a negative is always positive.
