# What if the square root is negative?

It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do? The square root of a negative number does not exist among the set of Real Numbers.

Table of Contents

## What if the square root is negative?

It is not possible to square a value (multiply it times itself) and arrive at a negative value. So, what do we do? The square root of a negative number does not exist among the set of Real Numbers.

## What is the root square of 1?

Table of Squares and Square Roots

NUMBER | SQUARE | SQUARE ROOT |
---|---|---|

1 | 1 | 1.000 |

2 | 4 | 1.414 |

3 | 9 | 1.732 |

4 | 16 | 2.000 |

## What does 2i mean?

an imaginary number

## 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).

## Do you multiply numbers in brackets?

The first way tells us to multiply. When we see two or more numbers together that are separated by parentheses, then the parentheses are telling us to multiply. When we are working with parentheses, we can leave the first or the last number without or outside the parentheses. It still means multiplication.

## How do you simplify in brackets?

Removing brackets

- To remove brackets, multiply the term on the outside of the bracket with each term inside the brackets.
- Here, we combine multiplying out brackets and collecting like terms, to simplify algebraic expressions.
- Have a look at the example questions below.

## How do you simplify numbers?

Some ways to simplify a number…

- Round it off. Create zeros. So 199 becomes 200.
- Round to an order of magnitude. Round a lot, to the nearest “power of ten”.
- Slide the decimal point. Compact those zeros created by rounding.
- Substitute a number you can remember. Instead of rounding, find a nearby number you can remember.

## Is negative square root of 16 a real number?

There is no Real number whose square is −16 .