問題
問1．次の式を計算せよ．
(1) \(|3-3.2|\)
(2) \(|2\times 3 -5 \times 7|\)
(3) \(2|2-6|-3|5-1|\)
(4) \(\displaystyle \frac{2}{3}\Big |3\times 5-6\Big|-13\)
(5) \(\Big|4-3|3-2 \times 5|\Big|\)
(6) \(\Bigg|\displaystyle -\Big|3-\frac{1}{2}\Big|+|9-3|\Bigg|\)
問2．次の式を簡単にせよ．
(1) \(\displaystyle \sqrt{6+2\sqrt{5}}\)
(2) \(\displaystyle \sqrt{8-2\sqrt{7}}\)
(3) \(\displaystyle \sqrt{9+2\sqrt{14}}\)
(4) \(\displaystyle \sqrt{14-2\sqrt{33}}\)
(5) \(\displaystyle \sqrt{7+4\sqrt{3}}\)
(6) \(\displaystyle \sqrt{4-\sqrt{15}}\)
(7) \(\displaystyle \sqrt{\frac{9}{2}-\sqrt{14}}\)
(8) \(\displaystyle \sqrt{18-12\sqrt{2}}\)
解答
