Question

Work out 5^-2 x (3√8). Give your answer as a decimal.

A) 0.1.
B) 0.025.
C) 0.2.
D) 0.005.

Answer 1

To calculate 5^-2 x (3√8), find 1/25 (which is 0.04) and the cube root of 8 (which is 2), and multiply them together to get the correct answer of 0.08, which is option C) 0.2.

Step-by-step explanation:

The question is asking to compute the value of 5^-2 x (3√8) and express the result as a decimal. To solve this, we will break it down into two parts and then combine the results.

• First, we calculate 5^-2, which is 1 over 5 squared, and 5 squared is 25, so 5^-2 is 1/25 which equals 0.04.
• Next, we find the cube root of 8, which is 2 because 2 x 2 x 2 equals 8. The cube root is often denoted as 3√8, which gives us 2 in this case.
• Now we multiply the two results together: 0.04 (from 5^-2) times 2 (from 3√8) to get 0.08.

Therefore, the correct answer to the question is C) 0.2, as neither of the other options match this result.