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Since 8x8 = 64 and (-8)x(-8) is also = 64

Q: Why does the square root of 64 have a positive and negative value?

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That simply means that there is both a positive and a negative number which, when squared, gives you 64.

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 root of 100 is 10 but positive and a negative is a negative so it is negative 10

The principal square root is the non-negative square root.

Every number has two square roots ... a positive one and a negative one. Example: +2 and -2 are both square roots of 4, because when you multiply either of them by itself, the answer is 4. The positive square root of a number is the square root that's not negative. The non-negative square root of a number is the positive one.

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√(a^2) That is |a| (the absolute value of a) Because if a is positive, a^2 is positive, and since √ is a positive square root, √(a^2) is a. If a is negative, a^2 is positive, and since √ is a positive square root, √(a^2) is -a. So if a is positive, √(a^2) is positive (which is a) If a is negative, √(a^2) is also positive (which is -a) So √(a^2) is |a| for every a.

It is - as well as positive 3. Multiplying a negative number by another negative always results in a positive value. Therefore the square root of 9 can be either 3 or -3.

That simply means that there is both a positive and a negative number which, when squared, gives you 64.

No. There is no real number which multiplied by itself forms a negative number.A negative times a negative is a positive, and only a positive times a negative is a negative.However, in calculus there is an "imaginary value" (called i ) which represents the square root of -1.Square roots of larger negative numbers are represented by the square of the absolute value times i .

The square root is generally positive or negative and it is only the context of the question that will tell you whether it is the positive root or the negative root. For example, if you are solving for the lengths of the sides of a square, a negative measure makes no sense so it must be the positive root.

Every positive integer has two square roots, a positive square root and a negative square root. This is because, just like a positive number multiplied by a positive number is equal to a positive number, a negative number multiplied by a negative number is equal to a positive number. Therefore, rounded to two decimal places, the positive square root is equal to 7.28, and the negative square root is -7.28.

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

To solve equations with absolute values in them, square the absolute value and then take the square root. This works because the square of a negative number is positive, and the square root of that square is the abosolute value of the original number.

The square root of 100 is 10 but positive and a negative is a negative so it is negative 10

Yes, as is the positive square root.

The square root of a negative value is called an imaginary number.

when x is a negative number --- is a wrong answer since square root of a negative number is not defined. So x has to be zero or a positive number. The correct answer is that when x lies between 0 and 1 (with both limits excluded), its square root is greater than the number itself. Of course at both limits, the square root (assuming the positive square root - since a square root of a number can be positive or negative, both with the same absolute value) is the same as the number.