Question & Answer

What is this expression in simplified form?

What is this expression in simplified form?
A. 64√50
B. 16√50
C. 80√2
D. 320√2

1 Answer

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Quizzma TeamMarch 14, 2025

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.