Find cube root

find the cube root of the following number

1092727


The answer is 103.

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2 solutions

Rajen Kapur
Jan 14, 2015

It is easy to see that the unit digit is 3. Number is over 10^6 by 92727. Now (100 + 3)^3 = 10^6 + 90000 + 2700 + 27. Hence 103 is the answer.

Sunil Pradhan
Jan 16, 2015

1 092 727 make 3 groups from the end. there are 3 groups (1) (092) (727) so answer is 3 digit answer.

You must know cube of number ending with 0, 1, 4, 5, 6 remains same digit in the cube number.

Number ending with 3 cube number end with 7 and ending with 7 cube ends with 3

Similarly Number ending with 2 cube number end with 8 and ending with 8 cube ends with 2

for 1 092 727 the answer is ending with 3, then consider first group (1) find a number whose cube root is 1 or less than 1 i.e. 1

so cube root is 1 x 3. cube of 100 = 1 000 000 so the answer is nearer to 100 try 103 cube. by any method it is 1092727 so answer is 103

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