練習題庫/huikao・難度 3小芸要用十分逼近法找出 22\sqrt{22}22 位於哪兩個相鄰的百分位小數之間。下列哪一項書寫完整且正確？(A)22≈4.69\sqrt{22}\approx 4.6922≈4.69(B)由 42<22<524^2<22<5^242<22<52，且 (4.6)2<22<(4.7)2(4.6)^2<22<(4.7)^2(4.6)2<22<(4.7)2；又因 (4.68)2<22(4.68)^2<22(4.68)2<22、(4.69)2<22(4.69)^2<22(4.69)2<22，故 4.68<22<4.694.68<\sqrt{22}<4.694.68<22<4.69(C)由 42<22<524^2<22<5^242<22<52，得 4<22<54<\sqrt{22}<54<22<5；由 (4.6)2=21.16<22<22.09=(4.7)2(4.6)^2=21.16<22<22.09=(4.7)^2(4.6)2=21.16<22<22.09=(4.7)2，得 4.6<22<4.74.6<\sqrt{22}<4.74.6<22<4.7；由 (4.69)2=21.9961<22<22.09=(4.70)2(4.69)^2=21.9961<22<22.09=(4.70)^2(4.69)2=21.9961<22<22.09=(4.70)2，得 4.69<22<4.704.69<\sqrt{22}<4.704.69<22<4.70(D)由 (4.69)2=21.9961<22<22.09=(4.70)2(4.69)^2=21.9961<22<22.09=(4.70)^2(4.69)2=21.9961<22<22.09=(4.70)2，得 4.70<22<4.694.70<\sqrt{22}<4.694.70<22<4.69(E)由 42<22<524^2<22<5^242<22<52，且 (4.5)2=20.25<22(4.5)^2=20.25<22(4.5)2=20.25<22、(4.6)2=21.16<22(4.6)^2=21.16<22(4.6)2=21.16<22，故 4.5<22<4.64.5<\sqrt{22}<4.64.5<22<4.6登入後即可作答並查看完整詳解（每日免費 5 題）。