Contents

- 1 Why is i the square root of negative one?
- 2 Is the square root of 1 undefined?
- 3 What is the square root of a negative number?
- 4 What does 2i mean?
- 5 Is 1 a perfect square?
- 6 Is 0 a real number?
- 7 Is Square Root 0 undefined?
- 8 Can you divide by zero?
- 9 How do you square root a negative number on a calculator?
- 10 What is negative I equal to?
- 11 IS 400 a perfect square?

## Why is i the square root of negative one?

Here, the term “imaginary” is used because there is no real number having a negative square. There are two complex square roots of − 1, namely i and −i, just as there are two complex square roots of every real number other than zero (which has one double square root ).

## Is the square root of 1 undefined?

Originally Answered: Why is square root of -1 not undefined? Short answer No it is not undefined it’s imaginary number.

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

Zero has one square root which is 0. Negative numbers don’t have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can’t be written as the quotient of two integers.

## What does 2i mean?

2i is an imaginary number because it has the form ‘bi’ Remember, ‘i’ is the imaginary unit and is equal to the square root of -1. Even though ‘i’ is NOT a variable, we can multiply it as if it were. So i • i gives us i^{2}.

## Is 1 a perfect square?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

## Is 0 a real number?

What Are Real Numbers? Edit. Real numbers consist of zero ( 0 ), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.

## Is Square Root 0 undefined?

Square roots are defined algebraically, not by limits. 0 is a solution to x^2 = 0, so 0 is a square root of 0. lim x → 0 x does, in fact, not exist, but that’s because is undefined for x < 0.

## Can you divide by zero?

There is no number that you can multiply by 0 to get a non- zero number. There is NO solution, so any non- zero number divided by 0 is undefined.

## How do you square root a negative number on a calculator?

To take the square root of a number, press [2ND] (the secondary function key) and then [ √ ] (the radical symbol key which is used to take the square root of a number ) and then the number that you want to find the square root of and then the [ENTER] key. This will give you the answer of: 1.414213562 if done correctly.

## What is negative I equal to?

Unit Imaginary Number The square root of minus one √(−1) is the “unit” Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

## IS 400 a perfect square?

400 is a perfect square. Because 20 * 20 = 400.