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You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913

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one month ago Anand Kumar Pandey
1572 Points
```							Dear StudentBy grouping the digits, we get 1 and 331Since, the unit digit of cube is 1, the unit digit of cube root is 1.Therefore, we get 1 as the unit digit of the cube root of 1331.The cube of 1 matches with the number of the second groups.Therefore, the ten’s digit of our cube root is taken as the unit place of the smallest number.We know that the unit’s digit of the cube of a number having digit as unit’s place 1 is 1.∛1331 = 11By grouping the digits, we get 4 and 913We know that, since the unit digit of the cube is 3, the unit digit of the cube root is 7.Therefore, we get 7 as unit digit of the cube root of 4913.We know 13 = 1 and 23 = 8 , 1 > 4 > 8.Thus, 1 is taken as ten-digit of the cube root .∛4913 = 17Thanks
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one month ago
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