how to find cube of 4913 without calculations?
Answers
913 ends with 3 and we know that if the digit 3 is at the end of any perfect cube number, then it's cube root will have 7 at its units place only. Therefore the digit at units place of the required cube root is taken as 7. So, 1 will be taken at the tens place. so the required cube root of 4913 is 17........
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Solution:-
For calculating the cube root of 4913, this number has to be separated in to groups starting from the rightmost digit
The groups are 4 and 913.
Considering the group 913
913 ends with 3 and we know that if the digit 3 is at the end of any perfect cube number, then its cube root will have 7 at its units place only. Therefore the digit at the units place of the required cube root is taken as 7.
Now considering the other group 4
We know that 1³ = 1 and 2³ = 8
Also, 1 < 4 < 8
So, 1 will be taken at the tens place. so the required cube root of 4913 is 17.
∛4913 = 17