Question

Given that 196k is a perfect cube , find the smallest possible value of k

Answer 1

Factor 196k
196k=2*2*7*7*k
we need to get something like x^3
hmm
we right now have
(2*7)^2
if we multiply that by (2*7)^1, we can beg (2*7)^3,
therefor k=2*7=14

tha tnumber is 14

or

if k can be any number
k can be 1/196, to make it 1, and 1 is a perfect cube

or

my bro had an epic idea: what if k is negative
the cube root of a negative number is negative
so the smallest one would be negative infinity or something



I think the answer you're looking for is k=14