# FAQ: What Is Square Root Of Negative 1?

## 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 are the positive and negative square roots of 1?

Square root of the positive value of 1 is either a positive value of 1 or negative value of 1. This is true because, 1 x 1 = 1 and – 1 x – 1 = 1. Square root of the negative value of one does not exist in theory. However, the square root of -1 is considered to be an imaginary number unit ‘i’.

## Is square root of negative 1 a rational number?

The number √− 1 is not real. Since the rationals are just a particular type of real number, it cannot be rational, either. and so a2=−b2. Since b2 is certainly positive, that means a2 is certainly negative, which is impossible.

You might be interested:  Readers ask: What Is The Square Root Of 27?

## How does squared equal negative one?

“I” squared is the same thing as the square root of negative 1 times the square root of negative one. Since we know that square rooting and squaring are opposites, the two will cancel each other out, leaving you with negative 1.

## 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 the root square of 1?

List of Perfect Squares

NUMBER SQUARE SQUARE ROOT
1 1 1.000
2 4 1.414
3 9 1.732
4 16 2.000

## 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.

## 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 square root of 7 a real number?

How do we know that √ 7 is irrational? For a start, 7 is a prime number, so its only positive integer factors are 1 and 7.

You might be interested:  How To Convert Exponent To Square Root?

## 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 of 15 a rational number?

The square root of 15 is not a rational number. It is an irrational number.

## What is 2i equal to?

The absolute value of the complex number, 2i, is 2.

## Is squared positive or negative?

“This is because to square a number just means to multiply it by itself. For example, (−2) squared is (−2)(−2)=4. Note that this is positive because when you multiply two negative numbers you get a positive result.” – This, of course, is the exact opposite of what was asked, but it’s the given response.

## What is the root square of 169?

The square root of 169 is 13. 