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.
∴3√3375=15.