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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.

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Is the square root of any real number always positive?

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


When you square a negative number is it positive or negative?

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.


What is the Square root of 160?

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.


If a negative number squared is positive why isn't the square root of a positive number negative?

Don't forget that a positive number squared is also positive.The rule has nothing to do with whether they're positive or negative. The rule is:When you multiply two numbers together, if their signs are the same then the product is positive.If their signs are different, then the product is negative.When you square a number, the two numbers you're multiplying are the same number,so their signs are always the same, and the product (the square) is always positive.Going the other way, you start with a positive number that's the product. Since it's positive,you know that the two numbers that were multiplied to get it have the same sign ... theycould both be positive, or they could both be negative.The answer to your question is more weird than you expected: The square root of a positive numberis negative. It's also positive. A positive number has two square roots ... the positive one andnegative one.Now, the square root of a negative number is something more difficult. No number squared can equal a negative except for what is called imaginary numbers, defined by "i". For example, the square root of -1 is i, and the square root of -2 is (√2)*i.


Why does every positive number have two square roots?

Square root of 25 is 5 or -5. 5 X 5 is 25 -5 X -5 is also 25 A negative number multiplied by a negative number is always positive.

Related Questions

Why is any number raised to a even power 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.


Is the square root of any real number always positive?

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


When can the square of a negative number be negative?

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.


Is the square of -8 a rational number?

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


What is the square root of a whole number always?

a positive integer


When squaring a negative number if the factor is a negative and the exponent is positive will your answer be negative or positive?

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


Why is the last term of a perfect square trinomial always 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.


Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a 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.


Is The square of a number always larger than a number?

No, the square of a number is not always larger than the number itself. For positive numbers greater than 1, the square will be larger. However, for numbers between 0 and 1, the square is smaller, and for negative numbers, the square is always positive while the original number is negative, making the square larger in that context as well. Specifically, zero squared is equal to zero.


When you square a negative number is it positive or negative?

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.


How do you square negative numbers?

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


The square of a positive integer?

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