Infinite decimals: Irrational Numbers;
Non-perfect square roots: a subset of irrational numbers.
The set of real numbers. Note that this also includes terminating decimals and integers.
Because numbers are infinite, there is an infinite number of answers. e.g. What number should be added to 2 to make a perfect square? 2+2=4 (a perfect square) 2+7=9 (a perfect square) 2+14=16 (a perfect square) 2+23=25 (a perfect square) etc... Did you have a specific number in mind.
Yes it is.Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.
A perfect square.
For n to be a perfect square n = m2 where m can have one of the values 1, 2, 3, ... 1, 2, 3, ... are the counting numbers. There are an infinite number of counting numbers, so there are an infinite number of perfect squares (n = m2).
a perfect square
Almost always. Most square roots - for example, the square root of any positive integer, except that of a perfect square - will have an infinite amount of decimals. By the way, those decimals won't repeat in the general case, that is, you won't get the same digit pattern over and over again.
Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".
This can't be simplified, since it doesn't contain a perfect square. You can keep it as "square root of 155", or you can give an approximation with decimals. Any calculator will do the latter for you.This can't be simplified, since it doesn't contain a perfect square. You can keep it as "square root of 155", or you can give an approximation with decimals. Any calculator will do the latter for you.This can't be simplified, since it doesn't contain a perfect square. You can keep it as "square root of 155", or you can give an approximation with decimals. Any calculator will do the latter for you.This can't be simplified, since it doesn't contain a perfect square. You can keep it as "square root of 155", or you can give an approximation with decimals. Any calculator will do the latter for you.
It is Irrational. If you have an infinite number of decimals that doesn't have a specific pattern, then it is rational!
Because the square root of 1069 is not a whole integer (A multiple of 1), but instead it has decimals.
Try it out! For example, you can use a calculator to calculate the number's square root. If you get a whole number - no decimals - then the number is a perfect square.
Because numbers are infinite, there is an infinite number of answers. e.g. What number should be added to 2 to make a perfect square? 2+2=4 (a perfect square) 2+7=9 (a perfect square) 2+14=16 (a perfect square) 2+23=25 (a perfect square) etc... Did you have a specific number in mind.
Such a number is called a "perfect square".
45 is not a perfect square number. the closest perfect squares are 49 and 36. But it is the square of the irrational number 6.708204... (an infinite, non-terminating, non-repeating decimal).
Yes it is.Since the square of an integer is called a perfect square, then the square root of a perfect square must be an integer.
A perfect square.
For n to be a perfect square n = m2 where m can have one of the values 1, 2, 3, ... 1, 2, 3, ... are the counting numbers. There are an infinite number of counting numbers, so there are an infinite number of perfect squares (n = m2).