answersLogoWhite

0


Best Answer

The square root of a negative number is not real. However, there is a field of numbers known as the complex number field which contains the reals and in which negative numbers have square roots. Complex numbers can all be expressed in the form a+bi where a and b are real and i is the pure imaginary such that i2=1.

Please see the related links for more information about complex and imaginary numbers.

User Avatar

Wiki User

12y ago

Still curious? Ask our experts.

Chat with our AI personalities

JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
JudyJudy
Simplicity is my specialty.
Chat with Judy
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake

Add your answer:

Earn +20 pts
Q: What happens when you square root a negative number?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Basic Math

Is the square root of negative 101 a rational number?

The square root of any negative number is not even a 'real' number. It's called 'imaginary', because there's no number you can multiply by itself to get a negative number. The square root of 101 is irrational.


Is the square root of negative 64 a rational number?

The square root of negative 64 isn't even a real number. In math and engineering, it's called an "imaginary number".


What is an imaginary number?

The square root of a negative real number is an imaginary number.We know square root is defined only for positive numbers.For example,1) Find the square root of (-1)It is imaginary. We say that square root of (-1) is i.In fact they are not real numbers.2) Find the square root of (-4)-4 can be written as (-1)(4)Square root of 4 is 2 and square root of (-1) is iSo, the square root of -4 is 2i.Similarly, we can find the square root of other negative numbers also.Source: www.icoachmath.comAn imaginary number is defined to handle square roots of negative numbers. The imaginary unit i is defined as the 'positive' square root of -1.


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.


What is the opposite of a real number?

An imaginary number such as the square root of any negative number.

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.


Why is it impossible to square a negative number?

you can square a negative number but you can not square root a negative number


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.)


How do you find the negative square root of 5?

A negative square root is an imaginary number.


How do you get the square root of negative 144?

square root of a negative number is imaginary square root of negative 1 is defined as i square root of negative 144 is sqrt ((144)(-1)) = 12i


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.


What is a negative square root defined as?

If you're referring to the square root of a negative number, it's an imaginary number.


Is negative the square root of 36 a whole number?

Negative the square root of 36 is -6, which is a whole number.


What is the square root of negative 37?

The square root of a negative number is known as an imaginary number. In this case, the square root of negative 37 would be represented as √(-37) = √37i, where "i" is the imaginary unit equal to the square root of -1. This means that the square root of negative 37 is the square root of 37 multiplied by the imaginary unit "i".


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


What is the number i?

i is the symbol for an imaginary number, a complex number with the property i2=-1. The square root of a negative number is the square root times i. For example, the square root of -9 = 3i.


The square root of a negative value is called an or complex number?

The square root of a negative value is called an imaginary number.