###### Asked in Algebra

Algebra

# Is the square root of negative two a real number?

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## Related Questions

###### Asked in Math and Arithmetic

### 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.)

###### Asked in Science, Math and Arithmetic, Algebra

### What is the negative square root of -144?

The negative square root of -144 is -12i - that is -12 times the
square root of minus 1, ie √-144 = 12√-1.
The above is a complex number, which I suspect is not the answer
you wanted; there is no real number that is the square root of a
negative number
If you wanted the negative square root of 144, then it is
-12.

###### Asked in Math and Arithmetic, Algebra

### Is the square root of any real number always positive?

The square root of a real number is not always positive. The
square root of any positive number is positive, the square root of
zero is zero (not positive), and the square root of a negative
number is complex (i.e. neither positive nor negative).
The square root of 16 = -4 or 4.
The square root of 0 = 0
The square root of -16 = -4i or 4i

###### Asked in Math and Arithmetic, Numbers

### Is non-real numbers exist?

no, every number is a real number
---
There are numbers that are not real numbers. They are called
imaginary numbers, and have the property that when they are
squared, the result is negative. The square root of -1 is called i,
and the square root of any other negative number is i times the
square root of the absolute value of the number. So the square root
of -4 is 2i.