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

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The square root

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

And its negative counterpart.

A square root.

x2 + 100 has no real solutions. Applying the quadratic formula, we find two imaginary solutions: Zero plus or minus 10itimes the square root of 1.x = 10ix = -10iwhere i is the square root of negative 1.

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.

Imaginary number

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

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.

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 .

Actually the square root of 180 is 13.416407864998738178455

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.)

Yes, the square root of 3 is a real number. (It is not imaginary. The square root of a negative number is imaginary.) The square root of 3 is not a rational number. It cannot be written as a fraction.

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