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Infinite decimals: Irrational Numbers;
Non-perfect square roots: a subset of irrational numbers.
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What number should be added to a number to get 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.
The square root of a perfect square is an integer?
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.
What is a square of an integer called?
A perfect square.
How many values of n so that n is 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).
What is it called when it Has integers as its square roots?
a perfect square
When will it be necessary to round square roots?
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.
What is it called when a number has a whole number square root?
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".
Is the square root of 35 rational or not?
It is Irrational. If you have an infinite number of decimals that doesn't have a specific pattern, then it is rational!
Why 1069 is not a perfect square?
Because the square root of 1069 is not a whole integer (A multiple of 1), but instead it has decimals.
Is 2934 a square?
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.
What number should be added to a number to get 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.
Has integers as its square root?
Such a number is called a "perfect square".
Simplify the square root of 155?
To simplify the square root of 155, we need to find the factors of 155. The prime factorization of 155 is 5 x 31. Since there are no perfect squares in the factors, the square root of 155 cannot be simplified further. Therefore, the simplified form of the square root of 155 is √155.
Is 45 a square number?
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).
The square root of a perfect square is an integer?
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.
What is a square of an integer called?
A perfect square.
How many values of n so that n is 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).
