ABC conjecture exceptions

Question

I’m working on a simple presentation for a class on the ABC conjecture.
Nothing too deep. I would like to give an example of a triplet of coprime integers $a, b, c$ such that $$c<\operatorname{rad}(abc)^2$$ and $$c>\operatorname{rad}(abc)^{1.5}$$ Could somebody find such an example?

Answer 1

Straight from Wikipedia

$$ q= 1.6299, a= 2, b= 3^{10}·109 , c=23^{5}$$ $$ q= 1.6260, a= 11^2, b=3^2·5^6·7^3, c= 2^{21}·2^3$$ $$ q=1.6235, a=19·1307,b= 7·29^2·31^8, c= 2^8·3^{22}·5^4$$ $$ q= 1.5808, a= 283, b= 5^{11}·13^2, c= 2^8·3^8·17^3$$ $$q= 1.5679, a= 1, b= 2·3^7, c= 5^4·7$$