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When you multiply any number by itself, the result is always positive. You cannot take any real number and square it to get something negative. The square root of -36 is 6i.

Q: Why square root of negative 36 is not a real number?

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A Square Root is one of the two equal factors of a number.

Yes. Every perfect square has two roots: one positive and one negative.

And its negative counterpart.

No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.

A square root.

Related questions

The square root of a negative number is not real.

No. In general, the square root of a negative number is an imaginary number, which is not a real number.

No, it is not, because real numbers include negative numbers. The square root of a negative number is an imaginary number

There is no real number [square] root of a negative number. There is a real cube root and a real fiftth root etc, but root, by itself, implies square root.

Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i

Imaginary number

You cannot get real square root of a negative number because two numbers multiplied by themselves are always positive You can always get a real cube root of a negative number because three negative numbers multiplied by themselves give a negative .

Yes. In general, the square root of any non-negative number is a real number.

No, it is not even a real number. The square root of negative 5 is the square root of 5, times i.

Nothing. You cannot have a square root of a negative number. The square root of negative one is called i, but i is an imaginary number. It does not exist and does not follow the properties of real numbers. (For example, if a and b are positive, then the square root of a times the square root of b is the square root of ab. But the square root of -7 is not the square root of 7 times i.)

The square root of 100 is rational since it is not repeating.

Actually the square root of 180 is 13.416407864998738178455