지수 계산 제곱

(주어진 식) $\displaystyle = \frac{\left\{ ( \sqrt{10} + 3 ) ^{\frac{1}{2}} + ( \sqrt{10} - 3 ) ^{\frac{1}{2}} \right\} ^{2}}{\left\{ ( \sqrt{10} + 1 ) ^{\frac{1}{2}} \right\} ^{2}}$ $\displaystyle = \frac{( \sqrt{10} + 3 ) + ( \sqrt{10} - 3 ) + 2 \left\{ ( \sqrt{10} + 3 ) ( \sqrt{10} - 3 ) \right\} ^{\frac{1}{2}}}{\sqrt{10} + 1}$ $\displaystyle = \frac{2 \sqrt{10} + 2 \cdot 1 ^{\frac{1}{2}}}{\sqrt{10} + 1}$ $\displaystyle = \frac{2 ( \sqrt{10} + 1 )}{\sqrt{10} + 1}$ $= 2$