거듭제곱근 식의 값

[출제의도] 지수법칙 이해하기 $\displaystyle \sqrt{\left( - 2 \right) ^{6}}$$\displaystyle = \sqrt{2 ^{6}}$$= 8$, $\displaystyle \left( \sqrt[3]{3} - \sqrt[3]{2} \right) \left( \sqrt[3]{9} + \sqrt[3]{6} + \sqrt[3]{4} \right)$$= 3 - 2 = 1$이므로 $\displaystyle \sqrt{\left( - 2 \right) ^{6}}$$\displaystyle + \left( \sqrt[3]{3} - \sqrt[3]{2} \right) \left( \sqrt[3]{9} + \sqrt[3]{6} + \sqrt[3]{4} \right)$$= 9$이다.