【中学3年数学】2-1 平方根｜問題集
1.次の数の平方根を答えなさい。
(1)\(64\)
\(\pm8\)
(2)\(0.36\)
\(\pm0.6\)
(3)\(\displaystyle \frac{4}{49}\)
\(\displaystyle \pm\frac{2}{7}\)
(4)\(5\)
\(\pm\sqrt{5}\)
(5)\(0.8\)
\(\pm\sqrt{0.8}\)
(6)\(\displaystyle \frac{3}{7}\)
\(\displaystyle \pm\sqrt{\frac{3}{7}}\)
2.次の数を求めなさい。
(1)\(\sqrt{49}\)
\(7\)
(2)\(-\sqrt{16}\)
\(-4\)
(3)\(\sqrt{0.25}\)
\(0.5\)
(4)\(\displaystyle \sqrt{\frac{9}{4}}\)
\(\displaystyle \frac{3}{2}\)
(5)\(\sqrt{(-8)^2}\)
\(8\)
(6)\(\sqrt{1}\)
\(1\)
(7)\((\sqrt{5})^2\)
\(5\)
(8)\((\sqrt{13})^2\)
\(13\)
(9)\((\sqrt{0.6})^2\)
\(0.6\)
(10)\(\displaystyle \left(\sqrt{\frac{3}{7}}\right)^2\)
\(\displaystyle \frac{3}{7}\)
(11)\((-\sqrt{8})^2\)
\(8\)
(12)\((-\sqrt{12})^2\)
\(12\)
3.次の各組の数の大小を不等号を使って表しなさい。
(1)\(\sqrt{10},4\)
\(\sqrt{10}< 4\)
(2)\(8,\sqrt{62}\)
\(8> \sqrt{62}\)
(3)\(3,\sqrt{11}\)
\(3< \sqrt{11}\)
(4)\(\sqrt{29},\sqrt{23},5\)
\(\sqrt{23}< 5< \sqrt{29}\)
(5)\(-\sqrt{6},-\sqrt{5}\)
\(-\sqrt{6}< -\sqrt{5}\)
(6)\(-\sqrt{7},-\sqrt{10}\)
\(-\sqrt{7}> -\sqrt{10}\)
(7)\(-2,-\sqrt{3}\)
\(-2< -\sqrt{3}\)
次の学習に進もう！