Question

已知a=2^1/2,b=2^1/3,c=3^1/2d=3^1/3,试用a、b、c、d的代数式表示4√24 4√24

Answer 1

4√24

=24^1/4

=(3*8)^(1/4)

=[3^(1/4)]*[8^(1/4)]

=[(3^1/2)^1/2]*[2^(3/4)]

=[(3^1/2)^1/2]*[(2^1/2)^(3/2)]

=[c^(1/2)]*[a^(3/2)]