Question

Jacob is solving the equation 3√3q = 27 for q. His work is shown. 3√3q = 27

√3q = 9
(√3q)²= 9²
3q = A
q = B

What are the correct values for A and B?
a. A = 3, B = 1

b. A = 9, B = 3

c. A = 18, B = 6

d. A = 81, B = 27

Answer 1

Correct values for A and B are A = 81 and B = 27, after squaring both sides to eliminate the square root and then dividing by 3.

Step-by-step explanation:

Jacob is solving the equation 3√3q = 27 for q. His work is shown. Initially, to isolate √3q, he divides both sides of the equation by 3:
3√3q = 27
√3q = 9
Next, he squares both sides to eliminate the square root:
(√3q)² = 9²
3q = 81
This is because the square of a square root undoes the square root function, and the square of 9 is 81. Now, it's just a simple division step to solve for q:
q = 81 / 3
q = 27
Hence, the correct values for A and B are A = 81, B = 27, which corresponds to option d.