Skip to main content

Find cube root by vedic maths

We have to look at the numbers from 1 to 9.

     Cube of 1 (13)  =      1
Cube of 2 (23)  =      8
Cube of 3 (33)  =    27
Cube of 4 (43)  =    64
Cube of 5 (53)  =  125
Cube of 6 (63)  =  216
Cube of 7 (73)  =  343
Cube of 8 (83)  =  512
Cube of 9 (93)  =  729

     Cube of 10(103)=1000

Some important things:-

1.     The sum of the digits of a perfect cube number can only be 1, 8 and 9, so if the sum of the digits is any other than these three, then that number cannot be a perfect cube.

2.     The numbers to the right of which zeros are not multiples of three are incomplete cube numbers like 100, 10000, 2160000 etc.

3.     As many groups of 3–3 digits are formed in a perfect cube number, there will be as many digits in the cube root.

Finding the unit digit of the cube root of a perfect cube number :-

1.     If the unit digit of number is 2, then the unit digit of cube root is 8.

2.     If the unit digit of number is 8, then the unit digit of cube root is 2.

3.     If the unit digit of number is 3, then the unit digit of cube root is 7

4.     If the unit digit of number is 7, then the unit digit of cube root is 3.

5.     If the unit digit of the number is 1, 4, 5, 6, 9, 0 then the unit digit of the cube root will also be the same. Ex.- If the number is 216 then unit digit of cube root is 6 also.

To find the cube root of a perfect cube number up to 6 digits :-

Illustration 1 :- In 39304

Solution :-

Step 1:- At first we take two parts of given number

1st part                2nd part

   39                       304     

Note:-2nd part have last three digit always & rest in 1st part.

Step 2:- 33 < 39 < 43

we take 3 is the 1st part of answer.(Always take least number)

Step 3:- Last digit is 4 , it means 4 is the 2nd part of answer.

Step 4:- Answer is 34

Illustration 2 :- In 884736

Solution :-

Step 1:- At first we take two parts of given number

1st part                2nd part

   884                     736     

Note:-2nd part have last three digit always & rest in 1st part.

Step 2:- 93 < 884 < 103

we take 9 is the 1st part of answer.(Always take least number)

Step 3:- Last digit is 6 , it means 6 is the 2nd part of answer.

Step 4:- Answer is 96

Comments

Post a Comment

Popular posts from this blog

Square of the number

     This article is used to find out the square of  a number in a short period of time compare to normal maths. It increase the speed of your calculations.  The answer obtained by multiplying a number by itself is the square of that number. Example :- 6×6= 36 which is the square of 6.                          8×8= 64 which is the square of 8.      1.   Square of numbers ending in 5 :- Example 1-: 35 2 =   ? Step 1:- Multiply the first part by the first part plus 1: 3 ×(3+1) =3×4 =12 Step 2:- Write the number 25 next to the result from step 1: 35 2 = 12_25 = 1225 Example 2-: (in 3 digits) 125 2 =   ? Step 1:- Multiply the first part by the first part plus 1: 12 ×(12+1) =12×13 =156 Step 2:- Write the number 25 next to the result from step 1: 125 2 = 156_25 = 15625 Example 3-: (in decimal numbers) 9.5 2 =     ? Step 1:- M...
Post a Comment
Read more
WORLD  HERITAGE  SITES IN  INDIA PART- 1  Why did UNESCO start the World Heritage Centre? The UNESCO World Heritage Centre was born by merging two separate movements. The first was a movement for the preservation of cultural sites. The second was a movement that dealt with the conservation of nature. The ball for the first movement was set rolling with the decision to build the Aswan High Dam in Egypt. This dam would have flooded the valley in which one of the treasures of ancient Egypt- the Abu Simbel temple- wsa located. In 1959 UNESCO launched a campaign to safeguard these temples. It was a joint effort of 50 countries, and it led to many other similar projects to safeguard rare treasures. It was the United States that led the movement to combine the conservation of natural wonders along with cultural sites.  World Heritage Fund- If 1972, the World Heritage Fund was created. Its aim is to assist nations in identifying, preserving, and promoting World Heritage...
Post a Comment
Read more

Multiplication Trick 5

1. Condition :   This trick is used when we multiply quickly three numbers near  a  same power of 10. Example.  103 × 112 × 108   Illustration 1 :      107 × 102 × 105 Numbers       Base         Difference      107               100        +7 (let a=7)  102               100        +2 (let b=2)  105               100        +5 (let c=5) Solution:  1st part /   2nd part  /  3rd part                        (Number of digits in the 2nd and 3nd part =Number of 0s in the base)                            formula: 107+b+c...
Post a Comment
Read more