### Example: What is 3 Cubed?

3 Cubed | = | ||

= | 3 × 3 × 3 | = 27 |

Note: we write "3 Cubed" as 33** (the small 3 method the number appears three times in multiplying)**

**Cubes from 03 come 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, therefore the **cube source of 27 is 3**

3 | 27 |

The cube source of a number is ...

You are watching: 1 cubed 2 cubed 3 cubed** ... A one-of-a-kind value that when cubed** provides the original number.

The cube source of **27** is ...** ... 3**, since **when 3 is cubed** you acquire **27**.

Note: once you view "root" think "I understand the tree, but what is the source that created it?" In this case the tree is "27", and also the cube source is "3". |

Here space some much more cubes and also cube roots:

4 64 5 125 6 216 ## Example: What is the Cube source of 125?Well, us just occur to understand that 125 = 5 × 5 × 5 (if you usage 5 three times in a multiplication you will obtain 125) ...
## The Cube root Symbol
(we speak "the cube source of 27 amounts to 3")## You Can likewise Cube an unfavorable NumbersHave a look at this: When us cube +5 we obtain +125:+5 × +5 × +5 = +125 When we cube −5 we acquire −125:−5 × −5 × −5 = −125 So the ## Perfect CubesThe Perfect Cubes are the cubes that the entirety numbers:
It is simple to job-related out the cube source of a perfect cube, yet it is ## Example: what is the cube root of 30?Well, 3 × 3 × 3 = 27 and 4 × 4 × 4 = 64, for this reason we have the right to guess the prize is in between 3 and 4. Let"s try 3.5: 3.5 × 3.5 × 3.5 = 42.875Let"s shot 3.2: 3.2 × 3.2 × 3.2 = 32.768Let"s shot 3.1: 3.1 × 3.1 × 3.1 = 29.791We are obtaining closer, but an extremely slowly ... In ~ this point, I acquire out mine calculator and it says: ... Yet the digits simply go on and also on, without any kind of pattern. So also the calculator"s answer is Squares and Square RootsSurdsScientific CalculatorAlgebra index |