0
Prove the opposite.
Assume that a square number is prime.
A square number is one that is a product of a number multiplied by itself
A Prime number is one that has no factors other than itself and 1.
For a prime number to be square, the only choice is for it to be 1*1=1
Since 1 is not a prime number, there is a contradiction, and the original premise is false.
Therefore, all square numbers must be composite.â–
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Vivi
DevinAdd your answer:
Earn +20 pts
If a baseball bat has a composite design is it composite?
No I Had An Easton Redline It Said Composite Design Piece Of ****
Is the number 4 a composite number?
Yes it is, the numbers that can add up to 4 are 1, 2 and 4. A prime number is a number that can only go to itself and 1 evenly, composite have atleast 1 other number that goes into it perfectly. (that's what she said)
Does a square root have to be a whole number?
No, a square root doesn't have to be a whole number. The square root of 2.25 is 1.5. It could be said that most square roots are not whole numbers. Take just the first few integers (counting numbers). Find the square roots of the numbers 1 through 10 and you'll find three of the numbers have whole number square roots (1, 4 and 9). The other seven don't. For the numbers 11 through 20, there is only 1 number with a whole number square root (16).
What is real about real numbers?
These numbers are real in contrast to complex numbers which contain an element which is called imaginary. All this arises because the square of any "normal" number is non-negative. So it is not possible to take the square root of a negative number. In some cases, though, there are mathematical advantages in being able to do so. So mathematicians introduce i, the square root of -1. Numbers involving i are said to be imaginary and, by way of contrast, those that don't, are said to be real. A number comprising a real part and an imaginary part is called a complex number.
What is a subset in maths?
A set "A" is said to be a subset of of set "B", if every element in set "A" is also an element of set "B". If "A" is a subset of "B" and the sets are not equal, "A" is said to be a proper subset of "B". For example: the set of natural numbers is a subset of itself. The set of square numbers is a subset (and also a proper subset) of the set of natural numbers.
