Question

化簡(jiǎn)

a 1 2 a 1 2 a

=

a

1

2

．

Answer 1

分析：根據(jù)根式與分?jǐn)?shù)指數(shù)冪的互化關(guān)系進(jìn)行運(yùn)算即可．

解答：解：由條件可知a≥0，則

a 1 2 a 1 2 a

=

a 1 2 a 1 2 a 1 2

=

a 1 2 a

=

a 1 2 •a 1 2

=

a

=a

1

2

．
故答案為：a

1

2

．

點(diǎn)評(píng)：本題主要考查分?jǐn)?shù)指數(shù)冪和根式的運(yùn)算，利用根式和指數(shù)冪的關(guān)系將根式轉(zhuǎn)化為分?jǐn)?shù)指數(shù)冪是解決本題的關(guān)鍵．