Q2 of 67 Page 101

Find the cube root of the following by looking at the last digit and using estimation.

166375

Let n3 = 166375


Here, the unit’s place digit is 5;


∴ Unit’s place digit of n must be 5.


Let us split the number 166375 as 166 and 375


Now, 53 < 166 < 63


∴ 503 = 125000 < 166000 < 603 = 216000


Since, the unit’s place digit of n is 5, the only possible number is 55.


Also, 553 = 166375


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