Express large and small. A=3root3,B=4root4,C=6root6 ?

1 Answer
Apr 20, 2018

A<B<C

Explanation:

Let,

A=33,B=44,C=66

Squaring we get,

A2=(33)2=9×3=27

B2=(44)2=16×4=64

C2=(66)2=36×6=216

i.e.A2<B2<C2A<B<C

OR

If your question is of type given below ,then see the following
answer.

A=33,B=44andC=66

Now, LCM of : 3 , 4 , 6 is 12

So,

A12=(33)12=(313)12=34=81

B12=(44)12=(414)12=43=64

C12=(66)12=(616)12=62=36

i.e.36<64<81

C12<B12<A12

C<B<A