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# What is a negative square root defined as?

Updated: 9/18/2023

Wiki User

13y ago

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

Wiki User

13y ago

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Q: What is a negative square root defined as?
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### 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

### Why is the value of iota square negative?

The value of iota square is negative one because that is how it is defined. Iota is defined as the square root of negative one, or iota square must be negative one.

### How can there be a square root of a negative number?

Square roots of negative numbers are what are called imaginary numbers. The building block of imaginary numbers is the symbol i which is defined as the square root of negative 1. The square root of other negative numbers can be expressed using i. For example, the square root of negative sixteen is 4i, the square root of negative nine is 3i and so on.

### 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 a negative sign has a square root?

Yes, a negative sign has a square root.This is done through using the imaginary unit defined as: i = .for example the square root of -36 is square root of (-1) multiplied by square root of 36. Accordingly it equals 6i

### Why is the square root of negative one not defined?

You can't have the square root of a negative number, because when you multiply two numbers of the same sign, you cannot get a negative number. (sqrt) -1 is an imaginary number symbolized by i.

### Why is negativeroot not define?

The negative root is not defined because if you multiply two negative numbers together, the product is still positive. 2*2 =4 (-2)*(-2) =4 So, there is no real answer to the square root of a negative number. In higher math however, the square root of negative one is actually defined as i. The set of i is a set of imaginary numbers, and they have some special properties.

### What is the square root of negative 37?

The square root of negative 37 is: ~6.0827 i

### What is the square root of negative 168?

The square root of negative 168 is: ~12.9315 i

### What is the square root of negative 40?

The square root of negative 40 is: 6.324555 i

### 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.

### 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.)