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Q: What is a principal roots?

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You call them principal square roots.

Roots, stems, and leaves.

And its negative counterpart.

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Because in real numbers they are not defined.

The two square roots of a real number (other than 0) have the same value: one is the additive opposite of the other.So, the principal square root of 16 is 4. Then the other sqrt is -4.The principal sqrt of 2 is approx 1.424 and the other is -1.424.

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.

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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The second root would be the negative of the principal root.

Every positive number has TWO square roots. The principal square root is the positive number which, when multiplied by itself, gives the number in question. But its negative equivalent will also be a square root. For example, the number 4 has 2 as the principal sqrt but -2 is also a sqrt of 4

Use a calculator (if you need) to find the principal square root. The second square root is the negative of the number.

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