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# Does a positive number have two square roots?

Updated: 9/16/2023

Wiki User

11y ago

Yes, a positive square root and a negative one.

For example, the two square roots of 9 are +3 and -3.

Wiki User

11y ago
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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.

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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.

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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.

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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) = &Acirc;&plusmn;25 (that is, 25 and -25).

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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.

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

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