比较三个数的大小 2^(1/2) 3^(1/3) 6^(1/6)
问题描述:
比较三个数的大小 2^(1/2) 3^(1/3) 6^(1/6)
答
都乘以6次方,则:[2^(1/2)]^6=8,[3^(1/3)]^6=9,[6^(1/6)]^6=6,所以3^(1/3)>2^(1/2)>6^(1/6)
比较三个数的大小 2^(1/2) 3^(1/3) 6^(1/6)
都乘以6次方,则:[2^(1/2)]^6=8,[3^(1/3)]^6=9,[6^(1/6)]^6=6,所以3^(1/3)>2^(1/2)>6^(1/6)