# What is i in math equal to?

Table of Contents

## What is i in math equal to?

The imaginary number i is equal to the square root of -1. In other words, i2 equals -1. The square root of a negative number is not a real number and it is not a variable.

## What is the value of I²?

The imaginary unit i is defined such that i²=-1.

**What is the number 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.

### What does I mean in Algebra 2?

An imaginary number is one that when squared gives a negative result. With imaginary numbers, when you square them, the answer is negative. They are written like a real number, but with the letter i after them, like this: 23iThe letter i means it is an imaginary number.

### What is i3 in math?

An imaginary number is any complex number whose real part equals 0. For example, i3 is an imaginary number. So is i6 = i(6). The only imaginary number that is also a real number is the number 0. Both the real part and the imaginary part of 0 are 0.

**What is the value of i1?**

Value of Powers of i

i3 | i2 * i | -i |
---|---|---|

i4 | i2 * i2 = -1 * -1 | 1 |

i5 | i2 * i2 * i | i |

i6 | i2 * i2* i2 | −1 |

i0 | i1-1 = i1.i-1 = i1/i = i/i =1 | 1 |

## What is 5i equal to?

For example, 5i is an imaginary number, and its square is −25. By definition, zero is considered to be both real and imaginary.

## What does 4i equal to?

So, the square root of -16 is 4i. As a double check, we can square 4i (4*4 = 16 and i*i =-1), producing -16. All negative square roots are called “imaginary numbers” (now you know where that letter ‘i’ comes from).

**Does 0 squared equal 1?**

Zero squared is still equal to zero because zero times any real number is zero. Squaring a number simply means to multiply it by itself, or to raise it to the exponent of two. For example, zero squared can be written as 0*0 or 02.

### Can zero be equal to 1?

Simple answer: 0! (read “Zero Factorial”) is defined to equal 1. There are several proofs that have been offered to support this common definition.

### What is the imaginary number i equal to?

Students learn that the imaginary number “i” is equal to the square root of –1, which means that i^2 is equal to (the square root of –1) squared, which equals –1. Students also learn to simplify imaginary numbers.