Question

Fully simplify.
(-8√6)(2√-42)

Answer 1

To fully simplify the given expression, multiply the coefficients and combine the square roots.

Step-by-step explanation:

To fully simplify the expression (-8√6)(2√-42), we can start by simplifying each square root separately. Let's break it down step by step:

1. Start with the square root of 6. Since there are no perfect square factors, we cannot simplify it further.
2. Next, simplify the square root of -42. The square root of -1 is represented by 'i', and the square root of 42 can be simplified as 6√7. Therefore, the square root of -42 becomes 6i√7.
3. Multiply -8 and 2 to get -16.
4. Multiply √6 and 6i√7 to get 36i√42.

Combining these results, the simplified expression is -16(36i√42) = -576i√42.

Learn more about simplifying square roots