In simplified radical form, what is 8√(2) multiplied by 4√(2)?

To find the product of ( 8\sqrt{2} ) and ( 4\sqrt{2} ), you can use the property of radicals and multiplication.

First, multiply the coefficients (the numbers outside the square root) together:

[ 8 \times 4 = 32. ]

Next, multiply the radical parts together. Since both terms include ( \sqrt{2} ), you can combine them as follows:

[ \sqrt{2} \times \sqrt{2} = \sqrt{2^2} = 2. ]

Now, combine the results from the coefficients and the radicals:

[ 32 \times 2 = 64. ]

This means that ( 8\sqrt{2} \times 4\sqrt{2} = 64 ).

The final answer expresses the result in simplified radical form, which, in this case, is simply a whole number. Therefore, the correct answer is not expressed in radical terms because the radicals cancel out. The outcome is simply ( 64 ), which is reflected in the choice presented, confirming that this provides the correct answer for the problem.