Answered

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

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 class=

Answer :

mhanifa

Answer:

  • E. 2/5 a³

Step-by-step explanation:

  • [tex]\sqrt{36a^8/225a^2} =[/tex]                       simplify
  • [tex]\sqrt{4a^6/25} =[/tex]                              square root
  • 2/5 a³

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

Step-by-step explanation:

√(36a⁸/225a²)

=> 6/9√(a⁸/a²)

If option B is 6/25√(a⁸/a²)

Otherwise

=> √(36a⁸/225a²)

=> √(36a⁶/225)

=> 6a³/15

=> 2/5a³

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