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Positive and negative roots, eg 12 x 12 = 144 and -12 x -12 = 144

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Q: What two square roots does a positive number have?
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What are the two square roots of 256?

A positive number has two square roots, its principal (positive) root and its negative root. This is because a negative number multiplied by a negative number equals a positive number. In this instance, the square roots of 256 are 16 and -16.


Does a positive number have two square roots?

Yes, a positive square root and a negative one. For example, the two square roots of 9 are +3 and -3.


Is the square root a real number?

The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.


Every positive number has two square roots the principal square root and its opposite?

true


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.

Related questions

What are the two square roots of 256?

A positive number has two square roots, its principal (positive) root and its negative root. This is because a negative number multiplied by a negative number equals a positive number. In this instance, the square roots of 256 are 16 and -16.


Does a positive number have two square roots?

Yes, a positive square root and a negative one. For example, the two square roots of 9 are +3 and -3.


Is the square root a real number?

The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.


What is the principal square root of a positive number?

A positive number has two square roots, that is, there are two solutions to an equation like x2 = 100. The "principal square root" refers to the positive solution.


Every positive number has two square roots the principal square root and its opposite?

true


What are the two square roots of 625?

Any positive number has two square roots, a positive square root and its negative equivalent. This is because two negatives multiplied together equal a positive. In this instance, sqrt(625) = ±25 (that is, 25 and -25).


What is 36 square rooted?

Any positive integer has two square roots, one positive number and one negative number. This is because a negative number multiplied by a negative number is equal to a positive number.In this instance, the square roots of 36 are 6, and -6.


Why is it there are 2 roots in a square root?

There are two possible answers because if you square a negative number, you will get a positive answer.


How many square roots does 7 have?

Every number has two square roots. They're the same size, but one is positive and the other is negative.


What are the two square roots of 652?

Any positive number has two square roots, one positive and one negative. In this instance, rounded to two decimal places, sqrt(652) = ±25.53. (That is, 25.53 and -25.53).


Every positive rational number and its negative pair?

Every positive rational number and its negative are the two square roots of the same positive rational number.


How many square roots does the number 20 have?

Two, a positive and a negative.