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If a is any number, then a squared = (-a) squared, so one might say that a and -a are both square roots of a squared. However, the square root symbol always means the positive square root.

Because the square root of -25 would be that number that, squared, would equal -25. No number, positive or negative, can result in a negative square. Since -25 is a negative number, no number, positive or negative, can be squared to equal -25.

Negative numbers can't be squared rooted but the positive square root of 484 is 22

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

Ordinarily, the square root of -70 does not exist since a positive number squared or a negative number squared results in a positive number. If complex numbers are permitted, then the square root of -70 is i√70 ~= 8.367i where i is the imaginary square root of -1 such that i2 = -1.

Any positive number has two square roots, a positive square root and a negative square root. In this instance, the square root of 4900 is equal to Â±70 (that is, 70 and â€“70).

no,a negative number cannot have a square root .it is made only for positive numbers .but,yes,negative numbers can be squared.

-7.. square root cancels out square

30

This is not possible, because any number squared would be positive, not negative.

There is no known number that can be squared and produce a negative number since if the number is positive, the result will be positive, and if it's negative the result will still be positive. Accordingly the square roots of negative numbers are normally expressed as a factor of "i" where i is the square root of -1. In that case the square root of -25 is 5i.

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.

-x times -x = x2 (negative multiplied with negative = positive) sqrt of x2 = x

The square root of (-5)2 is 5. (-5 is also a square root, but "the" square root refers to the positive root in this case.) The square root of -52 is the square root of -25, or 5i. "i" is the imaginary unit. Read about "imaginary numbers" or "complex numbers" for more information. This would create confusions. Would that mean that the square of any negative number is negative?

5

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

yes, a positive square root is any positive number which is found as an answer when rooting a number.additional. The square root of any positive number will itself be positive.To complete the picture, the square root of a positive number is considered to be either positive or negative; for both answers would give a positive number when squared.The square root of a negative number is slightly more difficult, for that requires to find the square root of -1. Which is considered to be i. So i2 = -1.This concept is of quite important practical value in electrical engineering, but is not met with in ordinary life.

If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).

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

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 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.

Restricting the discussion to real numbers for now. In this case, the square root is only defined for non-negative numbers; the principal square root of a positive number is the POSITIVE square root. For example, both +5 and -5 are square roots of 25, since both - when squared - give you 25. But the positive square root (+5) is called the principal square root, and if you write the square root symbol, that's the number usually meant.

√(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.

Yes, as is the positive square root.

Square root of s, or negative square root of s.