# Cube root of -8

### Example: What is 3 Cubed?

 3 Cubed = = 3 × 3 × 3 = 27

Note: we create "3 Cubed" as 33 (the bit 3 implies the number shows up 3 times in multiplying)

## Cubes From 03 to 63

 0 cubed = 03 = 0 × 0 × 0 = 0 1 cubed = 13 = 1 × 1 × 1 = 1 2 cubed = 23 = 2 × 2 × 2 = 8 3 cubed = 33 = 3 × 3 × 3 = 27 4 cubed = 43 = 4 × 4 × 4 = 64 5 cubed = 53 = 5 × 5 × 5 = 125 6 cubed = 63 = 6 × 6 × 6 = 216

## Cube Root

A cube root goes the other direction:

3 cubed is 27, so the cube root of 27 is 3

 3 27

The cube root of a number is ...

You watching: Cube root of -8

... a special value that when cubed offers the original number.

The cube root of 27 is ... ... 3, bereason as soon as 3 is cubed you obtain 27.

See more: How To Find Skype Groups ??? Help Needed Contacts & Groups Note: When you view "root" think "I recognize the tree, however what is the root that developed it?" In this situation the tree is "27", and the cube root is "3".

Here are some even more cubes and also cube roots:

4
64
5
125
6
216

### Example: What is the Cube root of 125?

Well, we just occur to understand that 125 = 5 × 5 × 5 (if you use 5 three times in a multiplication you will acquire 125) ...

... so the cube root of 125 is 5

## The Cube Root Symbol This is the unique symbol that indicates "cube root", it is the "radical" symbol (supplied for square roots) via a small 3 to intend cube root.See more: Fix: Battlefront 2 Pc Mouse Not Showing Up, Can'T Move And Visible Cursor

You have the right to use it choose this: (we say "the cube root of 27 equals 3")

## You Can Also Cube Negative Numbers

Have a look at this:

When we cube +5 we acquire +125:+5 × +5 × +5 = +125
When we cube −5 we gain −125:−5 × −5 × −5 = −125

So the cube root of −125 is −5

## Perfect Cubes

The Perfect Cubes are the cubes of the entirety numbers:

 PerfectCubes 0 0 1 1 2 8 3 27 4 64 5 125 6 216 7 343 8 512 9 729 10 1000 11 1331 12 1728 13 2197 14 2744 15 3375

It is basic to occupational out the cube root of a perfect cube, but it is really hard to work out other cube roots.

### Example: what is the cube root of 30?

Well, 3 × 3 × 3 = 27 and also 4 × 4 × 4 = 64, so we deserve to guess the answer is in between 3 and 4.

Let"s attempt 3.5: 3.5 × 3.5 × 3.5 = 42.875Let"s try 3.2: 3.2 × 3.2 × 3.2 = 32.768Let"s try 3.1: 3.1 × 3.1 × 3.1 = 29.791

We are gaining closer, however exceptionally slowly ... at this allude, I acquire out my calculator and also it says:

... but the digits simply go on and also on, without any kind of pattern. So even the calculator"s answer is just an approximation ! (More reading: these type of numbers are referred to as surds which are a special form of irrational number)

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