根号5乘(根号5-根号5分之一)怎么化简

2025-03-09 12:24:01
推荐回答(2个)
回答1:

方法1:
√5*[√5-√(1/5)]
=√5*√5-√5*√(1/5)
=5-1
=4

方法2:
√5*[√5-√(1/5)]
=√5*[√5-1/(√5)]
=√5*[√5-(√5)/5]
=√5*[(4√5)/5]
=4

注意:√(1/5)=(√1)/(√5)=1/(√5)=(√5)/5

回答2:

4