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The-irrational-number-3-3-2-1-is-written-as-3-p-3-q-3-r-what-is-p-q-r-




Question Number 211377 by jacklau last updated on 07/Sep/24
The irrational number   ^3 (√(^3 (√2)−1)) is written as^3 (√p) +^3 (√q) +^3 (√r)   what is p, q, r ?
$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{irrational}}\:\boldsymbol{\mathrm{number}}\: \\ $$$$\:^{\mathrm{3}} \sqrt{\:^{\mathrm{3}} \sqrt{\mathrm{2}}−\mathrm{1}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{written}}\:\boldsymbol{\mathrm{as}}\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{p}}}\:+\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{q}}}\:+\:^{\mathrm{3}} \sqrt{\boldsymbol{\mathrm{r}}}\: \\ $$$$\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{p}},\:\boldsymbol{\mathrm{q}},\:\boldsymbol{\mathrm{r}}\:? \\ $$

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