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
type in the number you want to find the square root of, then press the square root button. if it doesnt tell you straight away, press =. ADDED: A good tip, and one I find useful, to verify you have understood the method is to try it on a number you know. So here for example, you know the square root of 4 is 2, and the square root of 100 is 10. So if you try the method and see the right answer, as the calculator can't make mistakes but can only follow your instructions, you know you have used it correctly.
There are a number of ways. The simplest would be to use a calculator (you probably would not know how to use log tables or a slide rule!) You could find a square root graphically; use numerical methods such as the Newton-Raphson method (not very fast but simple). There is also a method similar to long division, but that is rather complicated.
The only significant difference that I know of is that there is a method, somewhat like long division, that can be used for finding the square root. I am not aware of a similar process for a cube root.
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.
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.
When it can be square rooted
I Know a Shortcut - 2011 was released on: USA: 2011 (video premiere)
Every square number has a square root
You can't tell. There are an infinite number of shapes the loft could have, each with a different floor area.In order to know the area of the floor, you MUST know its length AND width. There's no shortcut.
The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . . You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.
multiply V by 3 then divide by 4pi , find the cube root of this, then square it and multiply by 4 pi
The formula of square root is basic once you learn it. To figure out the square root of a number you must know what a square number is. A square number is the product of a multiplication problem such as 7x7, 123x123 and 14x14. So the square root of 7 is 49. A trick to figuring out the square root of a number is adding consecutive odd number to the previous problem.