Question Number 126082 by amns last updated on 17/Dec/20
![There is only a three - digit number which is a square and also a cube. Now can you tell me what is the number? [Help me]](Q126082.png)
$$\boldsymbol{\mathrm{There}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{only}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{three}}\:-\:\boldsymbol{\mathrm{digit}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{which}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{square}} \\ $$$$\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{also}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{cube}}.\:\boldsymbol{\mathrm{Now}}\:\boldsymbol{\mathrm{can}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{tell}}\:\boldsymbol{\mathrm{me}}\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{number}}? \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\left[{Help}\:{me}\right] \\ $$
Commented by mr W last updated on 17/Dec/20
$$\mathrm{729}=\mathrm{27}^{\mathrm{2}} =\mathrm{9}^{\mathrm{3}} \\ $$