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歡迎您訪問數(shù)學考題練習:下列各式中,是最簡二次根式的是!

數(shù)學考題練習:下列各式中,是最簡二次根式的是

更新時間:2024-01-12 16:32:22作者:貝語網(wǎng)校

下列各式中,是最簡二次根式的是

A.

B.

C.

D.

試題答案

C

試題解析

A、B選項的被開方數(shù)中含有能開盡方的因數(shù)或因式;D選項的被開方數(shù)中含有分母;因此這三個選項都不是最簡二次根式.

解答:因為:A、=3,可化簡;

B、=|a|,可化簡;

D、=,可化簡;

所以它們都不是最簡二次根式.故選C.

點評:根據(jù)最簡二次根式的定義,最簡二次根式必須滿足兩個條件:

(1)被開方數(shù)不含分母;

(2)被開方數(shù)不含能開得盡方的因數(shù)或因式.

被開方數(shù)是多項式時,還需將被開方數(shù)進行因式分解,然后再觀察判斷.

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