- Hello, this is Josh! I have not posted in a VERY long, but I would
like to mention an easy shortcut for knowing the length of the nth
root of an m-digit number. First, divide m by n. Next, check if the
quotient is an integer. If it is, the quotient is the length of the
integer part of the nth root;however, if it is not, simply round your
quotient up to the nearest integer.
Let's calculate the length of the integer portion of the 3rd root
of the 8-digit number 70541929. 8 divided by 3 gives 2.333..etc, so
rounding up gives 3. Thus, the integer part of the root has 3 digits.
This shortcut might already be known here but I posted it in case it