Question

prove that 3√8 + 3√27 - 3√8x27​

Answer 1

Step-by-step explanation:

Explanation:

(827)−23

=(278)23

The prime factorization of 27 and 8 is:

27=9×3=3×3×3=33

8=4×2=2×2×2=23

Substituting the factorization on the above fraction we have:

(278)23

=(3323)23

=((32)3)23

Applying the property of power of a power that says:

(an)m=am×n

((32)3)2