Question Number 4446 by Rasheed Soomro last updated on 28/Jan/16
$$\mathrm{Define}\:\mathrm{2}^{\sqrt{\mathrm{3}}} \:\mathrm{and}\:\mathrm{3}^{\sqrt{\mathrm{2}}} \:. \\ $$
Commented by Yozzii last updated on 29/Jan/16
$${Dedekind}\:{cuts}\:{of}\:{the}\:{real}\:{line}\:{might} \\ $$$${define}\:{each}\:{of}\:{those}\:{numbers}.\: \\ $$
Commented by RasheedSindhi last updated on 29/Jan/16
$${The}\:{question}\:{is}\:{included}\:{in} \\ $$$${undergraduate}\:{level}\:{course},{where} \\ $$$${Dedekind}\:{cuts}\:{of}\:{the}\:{real}\:{line}\:{isn}'{t} \\ $$$${introduced}\:{yet}.\:{So}\:{I}\:{think},\:{there}\:{may}\:{be} \\ $$$${answer}\:{without}\:{involving}\: \\ $$$${Dedekind}\:{cuts}\:{of}\:{the}\:{real}\:{line}. \\ $$