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Q: The square root of a number x is always less than x?

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No, not always since: if a number is more than 1, then its square root is smaller than the number. if a number is less than 1, then its square root is bigger than the number.

No

yes every # has a square root, but it is not always easy!

No. The square root of an integer is always either an integer or an irrational number.

No, it is imaginary, since the square root of a negative number is always imaginary

The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i

No.

It is if the number is more than ' 1 '. If the number is less than ' 1 ', then it's smaller than its own square root.

only if x is greater than 1

There are two square roots of a perfect square: a positive number and the same number as a negative number. The square root of a perfect square will always be an integer.

No.

Not always as for instance the square root of 16 is 4 which is a rational number but the square root of 2 is an irrational number.

The square root of a negative number cannot be expressed with integers. The square root of a negative number is always imaginary.

No, it may be not even a rational number. Square root of 2 is 1,414213562... for example.

The square root of 625 is 25, and 2 less than 25 is 23.

The square root of a composite number is not always an irrational number. e.g. 4 is a composite number and its square root is 41/2 = 2, which is rational number.

The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.

No, the square root of an integer will not always be an integer. It may or may not be. The square root of nine is three, both of which are integers. The square root of two is not an integer. In fact, it is not even a rational number.

nope! take the square root of 5, 2.236067978... which is not a whole number! hope this helps!

a positive integer

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.

when the number is greater than 1

No. If 'x' is a perfect square, then its square root is also rational.

No. More frequently it is not.

I think it is Xi (whatever the square root of the positive is times i). i is an imaginary number that when you square it, it becomes negative. eg. the square root of -4 is 2i. Without "i", it would be impossible to square root a negative number, as any number times itself will always equal a positive.