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What is the simplified form of the following expression?

^3sqrt(4x/5)

User James Law
by
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2 Answers

3 votes

Answer:

C)
\frac{\sqrt[3]{100x} }{5}

Explanation:

User Rowan Parker
by
5.2k points
1 vote

Answer:

= (∛(100x))/5

Explanation:

Given the expression; ∛(4x/5)

To simplify this we need to make denominator a perfect cube.

So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.

∛(4x/5) = ∛((4x/5)×(25/25))

= ∛(100x/125)

= ∛(100x/5³)

= (∛100x)/5

User Giorgio Ghiatis
by
5.2k points