HOW TO FIND CUBE ROOT OF ANY NUMBER-LEARN SERIES

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INTRODUCTION:

Before looking on how to Find Cube Root let us look

HOW TO FIND SQUARE ROOT OF A NUMBER 

HOW TO FIND CUBE ROOT OF A NUMBER:

Aspirants,Before finding cube root of a number just remember a tip,

UNIT DIGIT OF A GIVEN NUMBER ITS EQUIVALENT UNIT DIGIT
1 1
4 4
5 5
6 6
9 9
0 0
2 8
8 2
3 7
7 3

STEP 1:

Check whether the given number is Perfect Cube number.To Check this we have to look into only 1 condition,

That is the Power of Prime Factor of the given number should be 3

Example 1:

941192

The Prime Factor of Given number should be multiples of 3 then it is Perfect Cube Number(2*2*2)(7*7*7)(7*7*7)Therefore no term is left alone.It is Perfect Cube Number

STEP 2:

Take last 3 digit of the given number Starting from unit place

941192

The given number ends with 2 So,the unit digit will be 8(According to our table above)

STEP 3:

Leave last three digit from unit digit and take the Remaining number,

That is 941

The Nearest Perfect Cube number is 9³=729

So,the Perfect Cube number is 98³=941192


FINDING CUBE ROOT OF A IMPERFECT CUBE NUMBER:

Example 1:

3430

STEP 1:

TO CHECK  THE NUMBER IS PERFECT CUBE OR NOT:

From this it is evident that the number is not a Perfect Cube

STEP 2:

1)Know the nearest Perfect Cube number.

Perfect Cube nearest to 3430 is  15³=3375

2)Find the Difference between the Given Number and the Nearest Perfect Cube Number

Given Number=3430-3375=55

3)Format for writing Imperfect Cube Number

 

Here Nearest Perfect Cube Number=15

Difference=55

=(15.08)³=3430


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