如何化简[5^(1/3)-√125+√45]÷5^

如何化简[5^(1/3)-√125+√45]÷5^(1/4)

1个回答

[5^(1/3)-√125+√45]÷5^(1/4)
=[5^(1/3)-5√5+3√5]÷5^(1/4)=[5^(1/3)-2√5]÷5^(1/4)
同底数幂相除底数不变,指数相减,√5即5的1/2次方
得=5^(1/12)-2*5^(1/4)