Question

A. 2 (2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)3(3)(5)(5)(a)(a)

B. 4a^6/25

C. 6/25 a^8/a^2

D. 6/15 a^4

E. 2/5 a^3

Which expressions listed on the left are equivalent to
36a^8/225 a^2? Check all that apply. (Assume that a ≠ 0.)
A
B
C
D
E

Answer 1

Explanation:

√(36a⁸/225a²)

=> 6/9√(a⁸/a²)

If option B is 6/25√(a⁸/a²)

Otherwise

=> √(36a⁸/225a²)

=> √(36a⁶/225)

=> 6a³/15

=> 2/5a³

Answer 2

• E. 2/5 a³

Explanation:

• 
  `√(36a^8/225a^2) =` simplify
• 
  `√(4a^6/25) =` square root
• 2/5 a³

Also possible option is B if 4a⁶/25 is under root