/(vii) The cube of a single digit number may be a single digit nurte3 You are told that 1,331 is a perfect cube. Can you guess without factrisaioncube root? Similarly, guess the cube roots of 4913, 12167, 32768.

/(vii) The cube of a single digit number may be a single digit nurte3

1.	/(vii) The cube of a single digit number may be a single digit nurte3 You are told that 1,331 is a perfect cube. Can you guess without factrisaioncube root? Similarly, guess the cube roots of 4913, 12167, 32768.
Answer» Answer:We can estimate the cube root by the splitting the number from the right into three digit numbersSo for 1331Left group 1Right group 331As you know 13= 1 so there would be 1 at unit’s place in cube root of 1331.Now we have to find the cube root of left group 1Now 13= 1So, we have 1 in ten’s place and 1 in unit place113= 1331 satisfies the condition4913:Right group = 913Left group = 473gives 3 at unit’s place so unit digit number in cube root of 4913 should be 7We have to estimate the cube root of left group i.e 413= 1 and 23= 81<4<8So, 10s digit in cube root of 4913 should be 1So answer is 17