State true/false:

The cube root of 857375 is 95.

The given statement is true.

The cube root of 857375 is found by the following steps:

Step 1: Take cube number 857375 and start making groups of three digits starting from the rightmost digit of the number. 375 as the first group and 857 as the second group.

Step 2: First group, i.e., 375 will give you the one’s (or unit’s) digit of the required cube root. The number 375 ends with 5. We know that 5 comes at the unit’s place of a number only when its cube root ends in 5. 

So, we get 5 at the unit’s place of the cube root.

Step 3: Now take another group, i.e., 857. We know that 9³ = 729 and 10³ = 1000. Also, 729 < 857 < 1000. We take the one’s place, of the smaller number 729 as the ten’s place of the required cube root. 

So, we get $\sqrt[3]{857375}=95$.