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One trick for finding whether or not a number is a perfect square is to subtract a series of odd numbers from it. If you get down to exactly zero, it is a perfect square. For example:
49 - 1 = 48
48 - 3 = 45
45 - 5 = 40
40 - 7 = 33
33 - 9 = 24
24 - 11 = 13
13 - 13 = 0
Because our series of subtractions led us to the number zero, we know that 49 is a perfect square. On top of that, this technique will also tell you what it's square root is. The square root of the number will be equal to the number of subtractions required to get down to zero. In this case, we made seven subtractions, which tells us that seven is the square root of forty-nine.
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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".
How do you check if a number is a perfect square?
For a number to be a perfect square, the number's square root has to be a whole number. 9 is a perfect square because its square root is a whole number, 3. If the square root of the number is a decimal, then it is not a perfect square. For example, 13 does not divide evenly so it not a perfect square.
Can a perfect number be odd?
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.
What number is both a square number and a cube number between 1 and 25?
There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.
Is the number a perfect square?
20 is a not perfect square.
How do you determine that 72 is not a square number?
You take the square root of the number. If it is a perfect square, this will be a whole number. If it is not, it isn't a perfect square.
Why is a perfect square the square of a whole number?
It is the definition of a perfect square.
Is the number 125 a square number?
Well, technically, it is the square of 11.18033989...but it is not a perfect square(a perfect square is the square of a whole number. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256, etc.)
Is the number 40 a square number?
It is a square number but not a perfect square number.
Is 195 a perfect square number?
195 is a not perfect square.
Is 80 a perfect square number?
No, 80 is a not perfect square.
Is the number 1000 a perfect square?
No, 1,000 is a not perfect square.
