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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.

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2013-03-17 20:49:19
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Q: Why square root of negative 36 is not a real number?
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Related questions

How do you do a square root of a negative number that is not a perfect square?

The square root of a negative number is not real.


Is the square root of negative 11 a real number?

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


Is the square root of any real number always a real number?

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


What is the real number root of -25?

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.


What is the square root of a negative number written in the form bi where b is a real number and you is the square root of the negative?

Imaginary number


Is the square root of negative 3 an irrational or a real 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


Is the square root of 2 a real number?

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


Is the square root of negative 5 an integer?

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


Why is it possible to find a real cube root of a negative number but not a real square root of a negative 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 .


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Actually the square root of 180 is 13.416407864998738178455


What is the square root of a negative number plus the square root of a negative number?

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.)


Is the square root of 3 a real number?

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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