Question

emily claims that 3 2/3 times 6\sqrt{ }3^3 = 3 2/3 times 3 3/6 = 3 6/18 = 3\sqrt{ }3. Is Emily correct? Explain your answer. Also, the answer is not "emily is correct." so please explain why she is wrong.

Answer 1

Emily is incorrect.

To solve the equation properly, we need to follow the correct order of operations.

First, let's evaluate 3 2/3 times 6√3^3.

3 2/3 times 6√3^3 = 3 2/3 times 6 × 3√3

Now, let's simplify the equation further using the order of operations.

3 2/3 times 6 × 3√3 = 11/3 times 6 × 3√3

To multiply fractions, we multiply the numerators together and the denominators together.

11/3 times 6 = 66/3 = 22

Therefore, we have:

22 × 3√3

Now we can simplify the expression.

22 × 3√3 = 66√3

So, the correct answer is 66√3, not 3√3 as Emily claimed.