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 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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