What is this expression in simplified form?
A. 64√50
B. 16√50
C. 80√2
D. 320√2
What is this expression in simplified form?
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To simplify the expression (64sqrt{50}), we start by simplifying (sqrt{50}).
1. Break down (sqrt{50}):
[
sqrt{50} = sqrt{25 times 2} = sqrt{25} times sqrt{2} = 5sqrt{2}
]
2. Substitute back into the expression:
[
64sqrt{50} = 64 times 5sqrt{2} = 320sqrt{2}
]
So, the simplified form of the expression is (320sqrt{2}).
The correct answer is D: 320√2.