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Because there is no "real" sqrt of a negative number, i is used as a symbol, eg sqrt -4 = 2i

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Q: Why i is used to represent square root of -1?
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Related questions

What is the square root of four?

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.


What is the square root of minus 4?

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.


What is the square root of negative four?

The answer is 2i. When dealing with negative square roots, the expression i is used to represent the square root of -1.


How do you represent the square root of 1?

the square root of 1 is 1. The square root of -1 is j (if you are an engineer) or i (if you are a math geek)


What is the symbol used to represent a negative square root of a number?

Negative square root is -√Square root of negative one is i.


What is a math word for i?

'i' is often used to represent the imaginary part of a complex number, and is equal to the square root of -1.


What is the symbol used to represent thenonnegative square root of a number?

The negative square root of a number is expressed as -√n or -n^½. The question probably may refer to the square root of a negative number. In mathematics there is an identity i² = -1 so that i = √-1 The square root of a negative number can be shown in several ways. For Example : √-36 = √( -1 x 36) = √-1 x √36 The square root of 36 is ±6, and the square root of -1 is i. The solution to √-36 is therefore ±6i.


Does the imaginary number in math represent 1 or -1?

2


How do you represent root 2 to root 9 in the number line?

By root, I think you mean square root. The square root of 2 is approx. 1.414. The square root of 9 = 3, so this goes exactly at 3 on the number line. Square root 2 will be less than 1/2 way between 1 and 2 on the number line.


Square root of -1 is iota How?

Mathematicians decided that, since the square root of a negative number does not exist, they would use the first letter of "imaginary" to represent this "value".


How do you represent root 10 on number line?

friends,root 10 is according to our pythagores thoream.root 10=square of 3 and square of 1 can be represented on a number line.


Why is the square root of -1 equal to iota?

It is just a notation, used to make our calculations easier. Square root of -1 is undefined.