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歡迎您訪問數學考題練習:在中,最簡二次根式的個數為!

數學考題練習:在中,最簡二次根式的個數為

更新時間:2024-01-12 16:46:27作者:貝語網校

在中,最簡二次根式的個數為

A.1個

B.2個

C.3個

D.4個

試題答案

B

試題解析

判斷一個二次根式是否為最簡二次根式主要方法是根據最簡二次根式的定義進行,或直觀地觀察被開方數的每一個因數(或因式)的指數都小于根指數2,且被開方數中不含有分母,被開方數是多項式時要先因式分解后再觀察.

解答:4,符合最簡二次根式的條件;

=|a|,被開方數含能開得盡方的因數,不是最簡二次根式;

,符合最簡二次根式的條件;

=2被開方數含能開得盡方的因數,不是最簡二次根式;

因此符合條件的只有兩個:4,.

故本題選擇B.

點評:本題考查最簡二次根式的定義.在判斷最簡二次根式的過程中要注意:

(1)在二次根式的被開方數中,只要含有分數或小數,就不是最簡二次根式;

(2)在二次根式的被開方數中的每一個因式(或因數),如果冪的指數大于或等于2,也不是最簡二次根式.

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