Find the cube root of 97366 by estimation
Answers
Answer:
46
Step-by-step explanation:
To find the cube root of 97336 through estimation, first of all we have to make groups of three digits starting from the rightmost digit of the number. By doing so, we will have two groups of numbers as
336 and 97.
Here, the first group is 336. This number ends with 6. We know that 6 comes at the unit's place of a number only when its cube root ends in 6. Therefore, the unit's place digit of the cube root of 97336 is 6.
The second group is 97. We know that 43 = 64 and 53 = 125. Also, 64 < 97 < 125. To find the ten's place of the cube root, we have to take the cube foot of the smaller number (64) among 64, 97, and 125.
Now, 64-4³. Therefore, the ten's place digit of the cube root of 97336 is 4.
Therefore, the cube root of 97336 = 46
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366 is your answer
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