Question Number 194436 by sonukgindia last updated on 06/Jul/23
Answered by Frix last updated on 06/Jul/23
$$\mathrm{3}\:?\:\sqrt{\mathrm{3}}+\sqrt[{\mathrm{3}}]{\mathrm{2}} \\ $$$$\mathrm{3}−\sqrt{\mathrm{3}}\:?\:\sqrt[{\mathrm{3}}]{\mathrm{2}} \\ $$$$\mathrm{54}−\mathrm{30}\sqrt{\mathrm{3}}\:?\:\mathrm{2} \\ $$$$\mathrm{52}\:?\:\mathrm{30}\sqrt{\mathrm{3}} \\ $$$$\frac{\mathrm{26}}{\mathrm{15}}\:?\:\sqrt{\mathrm{3}} \\ $$$$\frac{\mathrm{676}}{\mathrm{225}}\:?\:\mathrm{3} \\ $$$$\mathrm{676}>\mathrm{675}\:\Rightarrow\:\mathrm{3}>\sqrt{\mathrm{3}}+\sqrt[{\mathrm{3}}]{\mathrm{2}} \\ $$