Final answer:
To show that B + B = 41 given that B = 2 [3], we can use the property of addition that states A + B = B + A. However, the correct answer is 4, not 41.
Step-by-step explanation:
To show that B + B = 41 given that B = 2 [3], we can use the property of addition that states A + B = B + A. Therefore, B + 2 [3] = 2 [3] + B. Since 2 [3] represents the number 2 in base 3, we need to convert it to base 10 to perform the addition. In base 3, 2 becomes 2 x (3^0) = 2 x 1 = 2.
Hence, the expression becomes B + 2 = 2 + B. Now, substituting B = 2, we get 2 + 2 = 2 + B. Simplifying, 4 = 4. Therefore, B + B equals 4, not 41.