Math, asked by DurvaParadkar, 8 months ago

how to find cube of 4913 without calculations?​

Answers

Answered by kashvi1283
1

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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Answered by k047
4

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

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