Question

Karen wants to prove 8–√3= 813. Which of the following expressions could she use to help her show the two expressions are equivalent?

(2+2+2+2)^1/3

(2*2*2)^1/3

2 1/3+1/3+1/3

8 1/3+1/3+1/3

8 1/3+8 1/3+8 1/3

Answer 1

choose two

Answer 2

To prove that 8 – √3 = 813, Karen would need an expression that simplifies to 813.

Among the given options, the expression that could help her show the two expressions are equivalent is:

(8 1/3 + 8 1/3 + 8 1/3)

This expression equals 813 when simplified.

Answer 3

Apologies for the confusion.

To show that 8 – √3 = 813, Karen could use the following expressions to help her prove the equivalence:

1. (2+2+2+2)^1/3
2. (8 1/3 + 8 1/3 + 8 1/3)

Both of these expressions simplify to 813.