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 first simplify (sqrt{50}).
[
sqrt{50} = sqrt{25 cdot 2} = sqrt{25} cdot sqrt{2} = 5sqrt{2}
]
Now replace (sqrt{50}) in the original expression:
[
64sqrt{50} = 64 cdot 5sqrt{2} = 320sqrt{2}
]
So, the simplified form is (320sqrt{2}).
The correct answer is D. 320√2.
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