“微信扫一扫”进入题库练习及模拟考试
先计算下列各式:\(\sqrt 1 = 1\),\(\sqrt {1 + 3} = 2\),\(\sqrt {1 + 3 + 5} = \)___,\(\sqrt {1 + 3 + 5 + 7} = \)___,\(\sqrt {1 + 3 + 5 + 7 + 9} = \)___。
(1)通过观察并归纳,请写出:\(\sqrt {1 + 3 + 5 + \ldots + (2n - 1)} = \)___。
(2)计算:\(\sqrt {2 + 6 + 10 + 14 + \ldots + 102} = \)___。
参考答案:3;4;5;\(n\);\(26\sqrt 2 \)