Given ∶
A natural number 262144 .
Formula Used∶
Viloknum method (Vedic Maths) and the given tables
Table 1
CUBIC NUMBER |
LAST DIGIT OF THE CUBE ROOT |
1 |
1 |
2 |
8 |
3 |
7 |
4 |
4 |
5 |
5 |
6 |
6 |
7 |
3 |
8 |
2 |
9 |
9 |
0 |
0 |
Table 2
Second group of number |
Tenth place digit of cube root number |
1 to 7 |
1 |
8 to 26 |
2 |
27 to 63 |
3 |
64 to 124 |
4 |
125 to 215 |
5 |
216 to 342 |
6 |
343 to 511 |
7 |
512 to 728 |
8 |
729 to 999 |
9 |
Calculation:
Step 1- Split the given number 262144 into groups of three digits each from right to left
2- First group is of last 3 digits forming number 144 and second group is of number 262.
3- Last digit of first group number 144 is 4.
4- From table no.1, the last digit of cube root is 4.
5- From table no.2, the tens place digit of the cube root from the second group number 262 is 6.
6- Hence, the cube root of 262144 is 64.
∴ The ∛262144 is 64.