解:?$(1)\sqrt [3]{0.008}=\sqrt [3]{0.2^3}=0.2,$??$\sqrt [3]8=\sqrt [3]{2^3}=2,$??$\sqrt [3]{8000}=\sqrt [3]{20^3}=20$?
規(guī)律:被開方數(shù)的小數(shù)點(diǎn)向右?$($?左?$)$?移動(dòng)?$3$?位,其立方根的
小數(shù)點(diǎn)向右?$($?左?$)$?移動(dòng)?$1$?位
真命題:若?$\sqrt [3]{m}=n,$?則?$\sqrt [3]{1000\ \mathrm {m}}=10n$?
?$ (2)$?因?yàn)?$\sqrt [3]{0.001728}=0.12,$??$\sqrt [3]{a}=1.2,$??$1.2 = 0.12×10,$?
?$ $?所以?$a = 0.001728×1000 = 1.728$?