Question 1062530
{{{182.25 = 729/4}}} , so multiplying numerator and denominator times 4, we get {{{182.25/54=729/216}}} .
I happen to rememberase that {{{216=6^3=3^3*2^3}}} and obviously {{{729=81*9=3^4*3^2=3^6}}} , so
{{{root (3,(182.25/54))=root (3,(3^6/(3^3*2^3)))=root(3,(3^3/2^3))=3/2=1.5}}} .
No calculator needed, but prime factorization is so helpful.