When it can be square rooted
Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.
If you have a number like 12 and you multiply it by the same number: 12 and the answer you get is a whole number, then the whole number is the perfect square.
a number is a perfect square when you can directly extract its square root in whole numbers and without approximation. when you subject a certain number to a radical sign, you can extract its square. example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25
Find the square root of the number.Take the integer part of the answer.Square the integer part.Subtract this square from the original number.
When it can be square rooted
Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.
Take any integer n and square it and you have a perfect square. Then you might want to know if a given number is a perfect square. Take the square root of a number and if it is a whole number, then the number is a perfect square.
We need to know what number the square is a factor of.
It's a perfect square.
Assuming you know that your number is a perfect square, the square root of an even number is even, and the square root of an odd number is odd.
If you have a number like 12 and you multiply it by the same number: 12 and the answer you get is a whole number, then the whole number is the perfect square.
a number is a perfect square when you can directly extract its square root in whole numbers and without approximation. when you subject a certain number to a radical sign, you can extract its square. example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25
Find the square root of the number.Take the integer part of the answer.Square the integer part.Subtract this square from the original number.
Take LCM of a number and if the LCM denominators fall in pair able group it is a perfect square. for eg: to know the whether 6084 is square number the L.C.M will be 2, 2, 3, 3, 13 & 13 so we have 3 pairs of 2, 3 & 13 therefore 6084 is a square of 2 x 3 x 13 = 78
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.
Oh, dude, like, 108 is not a perfect square because when you try to find its square root, you get a decimal, not a whole number. Perfect squares are like those popular kids in high school - they're the cool ones with whole number square roots, you know? 108 is more like the quirky kid who hangs out in the math club.