√(5-2√6怎样化简?(这是一道根号里有根号的题)

2024-11-17 21:51:51
推荐回答(2个)
回答1:

5-2√6
=3-2√(3×2)+2
=(√3-√2)²
所以原式=√3-√2

回答2:

√ (5 - 2√6)
= √ (2 + 3 - 2√6)
= √ [ (√2) ^ 2 + (√3) ^ 2 - 2√派拆2√尘歼枣3 ]
= √ [ (√2 - √3) ^ 2 ]
= |√改羡2 - √3|
= √3 - √2