What is this expression in simplified form?

To simplify ( 64sqrt{50} ), we can break down the square root and factor out any perfect squares.

1. Start with ( sqrt{50} ):

[

sqrt{50} = sqrt{25 times 2} = sqrt{25} times sqrt{2} = 5sqrt{2}

]

2. Now substitute this back into the original expression:

[

64sqrt{50} = 64 times 5sqrt{2} = 320sqrt{2}

]

Thus, the simplified form of ( 64sqrt{50} ) is ( 320sqrt{2} ).

The correct answer is D. ( 320sqrt{2} ).