Cube Root The cube root of a number is a special value that, when used in a multiplication three times , gives that number. Example: 3 × 3 × 3 = 27, so the cube root of 27 is 3.

What does cube root mean? :

What does cube root mean? The cube root of a number is ……. …. the value when multiplied by itself three times gives the original number.

Properties of Cube Roots:

Properties of Cube R oots If a and b are any two whole numbers, then 3 a × b = 3 a × 3 b . If a and b are any two whole numbers (b = 0), then 3 a/b = 3 a 3 b

Properties of Cube of numbers:

Properties of Cube of numbers Cube of all even natural are even. Cube of 4 = 64, which is an even number Cube of all odd natural are odd. Cube of 3 = 27, which is even number Cube of a natural number of the form 3n is a multiple of 27. Cube of 7 = 343, which is of the form 3n+1 Cube of a natural number of the form 3n+1 is also a number of the form 3n+1. Cube of 5 = 125, which is of the form 3n+2

You can also cube negative numbers:

You can also cube negative numbers If you cube 5 you get 125: 5 × 5 × 5 = 125 If you cube -5 you get -125 : - 5 × -5 × -5 = - 125 So the cube root of -125 is -5

Method of finding a perfect Cube:

Method of finding a perfect Cube To check weather a given number is a perfect cube or not Resolve the given number into prime factors. Group together the triples of like prime factors. If no factor is left ungrouped, the given number is a perfect cube.

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2 2 2 2 x 2 x 2 = 8

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3 x 3 x 3 = 27 3 3 3

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Examples: because because

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Examples:

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Not all cube roots can be simplified! 30 is not a perfect cube . 30 does not have a perfect cube factor. Example : cannot be simplified!

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Thank You for Watching this Presentation Submitted by :- Manpreet Singh Class :- VIII-J

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