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What number is a perfect square that is equal to the sum of the perfect squares that precede it?
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Is 1044 a square number?
Yes, in so far as all numbers are squares (of some number). But it is not a perfect square.
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
What is the greatest perfect square possible?
There is no limit to the number of perfect squares. To find a perfect square, you simply need to pick a number and square it. E.g. 7^2=49, so 49 is a perfect square. As there is infinitely many numbers to pick, and as the larger a number the larger it's square, there are infinitely many perfect squares and they just keep on getting larger!
What is an example of a non perfect square?
Well, the basic idea is that every positive number is the square of some number. For example, 2 is the square of a number known as the square root of 2; 3 is the square of a number known as the square root of 3; etc. The "perfect squares" are the squares of integers. That would make all other numbers "non-perfect squares", though this term is not usually used in practice.
What types of numbers have whole number square roots?
They are the perfect squares.
Is 1044 a square number?
Yes, in so far as all numbers are squares (of some number). But it is not a perfect square.
What if a number not a perfect square?
It does not matter! There are more numbers that are not perfect squares than there are perfect squares and the universe has not ground to a screeching halt!
Is the perfect square of 64 a rational or irrational number?
It is a rational number - as are ALL perfect squares.
Which numbers are NOT perfect squares?
In the complex field, every number is a square so there are no numbers that are not squares. If the domain is reduced to that of real numbers, any negative number is not a square. However, the term "square numbers" (not number's!) is often used to refer to perfect square numbers. These are numbers that are squares of integers. Therefore the squares of fractions or Irrational Numbers are non-squares.
What is the greatest perfect square possible?
There is no limit to the number of perfect squares. To find a perfect square, you simply need to pick a number and square it. E.g. 7^2=49, so 49 is a perfect square. As there is infinitely many numbers to pick, and as the larger a number the larger it's square, there are infinitely many perfect squares and they just keep on getting larger!
What type of number has an odd number of factors?
A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.
What is an example of a non perfect square?
Well, the basic idea is that every positive number is the square of some number. For example, 2 is the square of a number known as the square root of 2; 3 is the square of a number known as the square root of 3; etc. The "perfect squares" are the squares of integers. That would make all other numbers "non-perfect squares", though this term is not usually used in practice.
What is a number that has large integers as its square roots?
Large perfect squares.
What types of numbers have whole number square roots?
They are the perfect squares.
What are numbers with with square roots that are a whole number called?
perfect squares
How can you tell the value of a radical is a rational number?
If the number inside the radical is a perfect square or a ratio of perfect squares.
What is different about a perfect square and a difference of two squares?
"Perfect square" means that you square a whole number. Sometimes simply called "square" or "square number". "Difference of two squares" is the result of subtracting one such square from another. In most cases, the difference will not itself be a square.
