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The product of two negative numbers is a positive number. Ergo, the product of the square of a number is equal to the square of its negative equivalent.

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โˆ™ 2014-10-28 00:37:13
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Q: All positive numbers have two square root a positive and a negative why?
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How many square roots do negative numbers have?

Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.


Positive numbers have two square roots a principal square root and its?

And its negative counterpart.


What 2 numbers would be the square root of 53?

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.


What is the square root of -484?

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


How many square roots can a positive number have?

Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.


Why cant you evaluate square root -25?

You cannot in real numbers because the square of any number, negative or positive, is positive. However, -25 does have a square root in complex numbers: it is + or - 5i where i is the imaginary square root of -1.


What is the square root of negative 340?

That's the same as the square root of positive 340, times i. Many calculators can't calculate the square root of negative numbers, since they are not set up to calculate with complex numbers, but you can simply calculate the square root of the equivalent positive number, then add "i" to the result.


What are the positive and negative square roots of 1?

The numbers 1 and negative 1 (-1) are both square roots of positive 1.The square root of negative 1 is the "imaginary" number i.


How many square roots dose a negative number have?

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


Why is square root of the number -9 not a real number?

For the same reason that the square root of ANY negative number is not a real number.Real numbers are positive, negative, or zero. * The square of a positive number is a positive number. * The square of a negative number is a positive number. * The square of zero is zero. In other words, in no case will you get a REAL number whose square is a negative number. The square roots of negative numbers are said to be "imaginary" - a name given for historical reasons. They are just as "real" or "unreal" as the so-called real numbers, but the point is that they are a different kind of numbers.


Why cant you evaluate the square root of negative twenty five using real numbers?

using basic math principles, you can't find the square root of a negative number because in order for a number to be a square root, you have to multiply it by itself to get your radical. since a negative times a negative and a positive times a positive are both positive, it is impossible to find the square root of a negative number


How can there be a square root of a negative number?

Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.


What is the square root of a negative number plus the square root of a negative number?

Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)


Why is there no solution to the square root of -169?

The answer is an imaginary number, because of the negative under the square root. The same number multiplied together will always be a positive number. For example, if you square negative one, the answer is positive one, because a negative times a negative is a positive. Because a square root undoes a square, there is no solution to the square root of a negative number. That's why your calculator could not compute this problem. However, there is a way to solve these types of problems by using imaginary numbers. The answer is 13i, where i is the square root of negative one.


What is the square root of negative 100?

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


What is square root of negative five squared?

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?


How can you tell when to put the 'positive and negative' sign when you square root something?

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.


Is negative square root of 21 irrational?

Yes, as is the positive square root.


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


What number can you square to get the answer -12?

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.


What is the principal square root of x?

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.


What is the principal root of -25?

The principal root of a number is the positive real square root of the number - if it exists. Since -25 is negative, it does not have a real square root. Its square roots are the imaginary numbers +/-5i where i is the [imaginary] square root of -1. i is neither positive nor negative and so neither +5i nor -5i is a principal root.


What is an imaginary number?

The square root of a negative real number is an imaginary number.We know square root is defined only for positive numbers.For example,1) Find the square root of (-1)It is imaginary. We say that square root of (-1) is i.In fact they are not real numbers.2) Find the square root of (-4)-4 can be written as (-1)(4)Square root of 4 is 2 and square root of (-1) is iSo, the square root of -4 is 2i.Similarly, we can find the square root of other negative numbers also.Source: www.icoachmath.comAn imaginary number is defined to handle square roots of negative numbers. The imaginary unit i is defined as the 'positive' square root of -1.


What is square root of -3?

the answer is undefined because a positive and a positive is positive and a negative and a negative is still positive


Why is it possible to find a real cube root of a negative number but not a real square root of a negative number?

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .