When A = root(3)3, B = root(4)4, C = root(6)6 , find the relationship. which number is the correct number? 1. A<B<C 2. A<C<B 3. B<A<C 4. B<C<A 5. C<B<A

1 Answer
Apr 20, 2018

5 . C < B < A

Explanation:

Here,

A=root(3)3, B=root(4)4 and C=root(6)6

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

So,

A^12=(root(3)3)^12=(3^(1/3))^12=3^4=81

B^12=(root(4)4)^12=(4^(1/4))^12=4^3=64

C^12=(root(6)6)^12=(6^(1/6))^12=6^2=36

i.e. 36 < 64 < 81

=>C^12 < B^12 < A^12

=> C < B < A