Question

Find the cubth root of 37+30√3 without using log tables. But using short methods. I need it urgently. Please

Answer 1

Write $37+30\sqrt{3}$ as $(1)^{3}+3(1)^{2}(2\sqrt{3})+3(1)(2\sqrt{3})^{2}+(2\sqrt{3})^{3}$.
This is the expansion of $(1+2\sqrt{3})^{3}$. Your answer : $(1+2\sqrt{3})$.