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Q: Why is the square root of any real number is always sometimes or never positive?

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The square of a number is always two numbers multiplied together. A positive times a positive is always positive, and a negative times a negative is always positive.

A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.

Remember that when two numbers with the same sign are multiplied,their product is always positive.

never a negative

Sometimes the square root of a positive number can be irrational, as in the square root of 2 (which is a non-perfect square number), but sometimes it is a rational number, as in the square root of 25 (which is a perfect square number).

Sometimes.

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

The square of a negative number is always positive. The square of -8 = 64, a rational number

This can never be. The square of any number will always be positive. Any positive number multiplied by another positive number will be positive, while any negative number multiplied by another negative number will be positive.

a positive integer

If you square any real number it will always be positive.

This is related to the fact that the square of both a positive and a negative number is always positive. The last term is simply the square of the second term, in the original binomial.

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.

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.

The square of a positive number is positive. By the way, the square of a negative number is also positive.

Multiply the number by its self and the answer will always be positive (negative times a negative is positive)

Well a rhombus is sometimes and square. but a square is always a rhombus

When you square a real number the answer is positive,

The square of a real number is always positive no matter which real number you start with. Therefore, a negative number squared is positive. For example: 2 * 2 = 4, -2 * -2 = 4.

It is positive.

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.

Usually the square of a number is greater than the original number (2x2=4, -2x-2=4) wherther the number is negative or positive. The square of 1 is the same (1x1=1) but the square of -1 is greater (-1x-1=1) The square of positive decimal numbers is smaller than the original number (0.1x0.1=0.01) and the square of negative decimal numbers is larger than the original number (-0.1x-0.1=0.01)

Always

If the number is one, then it is the smallest positive square.

Negative numbers do not have square roots. Multiplying any number by itself will always be a positive number. For example, -1 x -1 is 1. Because two negatives cancel themselves out, and regular numbers are always positive.