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Question

3375

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Solution

Step I: Form groups of 3 starting from right most digit of 3375, i.e. ¯¯¯3¯¯¯¯¯¯¯¯375.

Then, the two groups are 3 and 375.

Here, 3 has 1 digit and 375 has 3 digit.


Step II: Take 375.

Digit in unit place =5.

Therefore, we take one's place of required cube root as 5 ....[Since, 53=125].


Step III: Now, take the other group 3.

We know, 13=1 and 23=8.

Here, the smallest number among 1 and 2 is 1.

Therefore, we take 1 as ten's place.


33375=15.


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