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The square of a "normal" number is not negative. Consequently, within real numbers, the square root of a negative number cannot exist.

However, they do exist within complex numbers (which include real numbers)and, if you do study the theory of complex numbers you wil find that all the familiar properties are true.

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โˆ™ 2011-09-18 15:55:11
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why properties of square roots are true only for non negative numbers?
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Related questions

Why are the properties of square roots only possible with nonnegative numbers?

Square roots of negative numbers ARE possible. I guess you haven't been introduced to "imaginary numbers" and the letter "i".

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.

What are positive square roots called?

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

Positive numbers have negative square roots?


Negative numbers have positive square roots?


Are there any square roots of negative numbers?

imaginary numbers. but no, not really.

What are non examples of real numbers?

The square roots of negative numbers.

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 square root of -43?

Negative numbers have no real square roots. In terms of complex numbers, the square roots of 43 are +j6.5574 (rounded) and -j6.5574 (rounded)

Are real numbers closed under the square root operation?

No. Negative numbers are real but their square roots are not.

Why don't negative numbers have square roots?

They can, but they are called imaginary numbers. This is because a "square" of something is the number that, when multiplied by itself, will equal the first number. A negative multiplied by a negative equals a positive, and positives can't turn into negatives on their own, so there are no square roots of negative numbers.

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

And its negative counterpart.

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