Question

Which value is equivalent to the product of

4√2and2√6?
16√/3
O6√/12
O6√/8
O24√/2

Answer 1

The product of 4√2 and 2√6 is 8√3.

Step-by-step explanation:

To find the product of 4√2 and 2√6, we multiply the coefficients (the numbers outside the square root symbols) together and then multiply the radicals (the numbers inside the square root symbols) together. Multiplying 4 and 2 gives us 8, and multiplying √2 and √6 gives us √(2*6) which simplifies to √12. Therefore, the product is 8√12.

To further simplify the answer, we need to find the largest perfect square that divides evenly into 12. The largest perfect square that divides evenly into 12 is 4. So we can rewrite √12 as √(4*3) which simplifies to 2√3. Therefore, the final answer is 8√3.

Learn more about Product of radicals