来自范峰南的问题
x(1/4)+y(1/4)的平方怎么算?x(1/4)是分数指数幂
x(1/4)+y(1/4)的平方怎么算?x(1/4)是分数指数幂
5回答
2020-03-20 23:10
x(1/4)+y(1/4)的平方怎么算?x(1/4)是分数指数幂
x(1/4)+y(1/4)的平方怎么算?x(1/4)是分数指数幂
[x^(1/4)+y^(1/4)]²
=[x^(1/4)]²+2x^(1/4)y^(1/4)+[y^(1/4)]²
=x^(1/2)+2x^(1/4)y^(1/4)+y^(1/2)
==不好意思,我问错了,是它的1/2怎么算
[x^(1/4)+y^(1/4)]^(1/2)无法算只能出将其化成根式的题目[x^(1/4)+y^(1/4)]^(1/2)=√(⁴√x+⁴√y)已经是最简的根式了
这样啊TT那如果已知a(1/2)+a(-1/2)=3,a(1/4)+a(-1/4)怎么算,拜托了,数学老师没上到这却布置了这个作业,明天上交,解好再追加10分
∵a(1/2)+a(-1/2)=3,∴[a(1/4)+a(-1/4)]²=a(1/2)+2+a(-1/2)=3+2=5又a(1/4)+a(-1/4)>0a(1/4)+a(-1/4)=√5