三次根号72乘以根号3=？ （三次根号16+根号2）的四次方 利用幂的运算性质

三次根号72*√3
=72^(1/3)*3^(1/2)
=8^(1/3)*9^(1/3)*3^(1/2)
=2*3^(2/3)*3^(1/2)
=2*3^(7/6)
=2*3*3^(1/6)
=6*3^(1/6)
=6*3的六次根号

（三次根号16+根号2）的四次方
=[16^(1/3)+2^(1/2)]^4
=[2^(4/3)+2^(1/2)]^4
={2^(1/2)*[2^(5/6)+1]}^4
=4*[2^(5/6)+1]^4
=4*[2^(3/5)+2*2^(5/6)+1]^2
=2^2*[2^(3/5)+2^(11/6)+1]^2
=[2^(8/5)+2^(11/3)+2]^2
=2^(16/5)+2^(22/3)+4+2*2^(8/5)*2^(11/3)+4*2^(8/5)+4*2^(11/3)
=2^(16/5)+2^(22/3)+4+2^(94/15)+2^(18/5)+2^(17/3)