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What is a principal roots?

The principal root is the positive square root.


What principal nth root?

That refers to the positive root, at least if you take the root of a positive number. For example, 25 has two square roots - two numbers which, when squared, give 25. The positive one (+5) is called the principal square root (or 2nd. root).


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 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.


What are positive square roots called?

They are called real numbers. Negative square roots must be complex numbers.


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

true


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.


Positive numbers have negative square roots?

False


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 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.


What is the principal positive square root of 5 rounded to the nearest hundredth?

5.00


All poitive numbers have two square roots a positive and as negative and why?

This is because if you multiply two negative numbers you get positive.