Question Number 26117 by ibraheem160 last updated on 20/Dec/17
$$\frac{\mathrm{1}}{\mathrm{6}}\sqrt{\frac{\mathrm{3}{log}\mathrm{1728}}{\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}{log}\mathrm{36}+\frac{\mathrm{1}}{\mathrm{3}}{log}\mathrm{8}}} \\ $$$${simplify}\:{the}\:{question}\:{above} \\ $$
Answered by ajfour last updated on 20/Dec/17
$$=\frac{\mathrm{1}}{\mathrm{6}}\sqrt{\frac{\mathrm{9log}\:\mathrm{12}}{\mathrm{1}+\mathrm{log}\:\mathrm{12}}}\: \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}\sqrt{\frac{\mathrm{log}\:\mathrm{3}+\mathrm{2log}\:\mathrm{2}}{\mathrm{1}+\mathrm{log}\:\mathrm{3}+\mathrm{2log}\:\mathrm{2}}}\:. \\ $$
Commented by ibraheem160 last updated on 20/Dec/17
$${but}\:{the}\:{final}\:{is}\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$