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30 points!
Which expression is equivalent to 32^3 sqaure root of 18y divided by 8^3 sqaure root 3y, if y is not equal to 0?
A)12^3 sqaure foot of 2y^2
B)4^3 sqaure root of 6
C)4^3 sqaure root of 15y
D)4^3 sqaure root of 6y

30 points Which expression is equivalent to 323 sqaure root of 18y divided by 83 sqaure root 3y if y is not equal to 0 A123 sqaure foot of 2y2 B43 sqaure root o class=

Respuesta :

Answer:

B

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors

The correct answer is [tex]4\sqrt[3]{6}[/tex] which is option B.

What is radical?

The symbol [tex]\sqrt[n]{x}[/tex] indicates a root which is called as radical and it is read as x radical n or nth root of x.

How to simply the radical in the given expression?

Factor the terms of numerator of the given expression.

[tex]\frac{4\cdot8\sqrt[3]{3\cdot6y} }{8\sqrt[3]{3y} }[/tex]

On dividing the common factors we get,

[tex]4\sqrt[3]{6}[/tex]

Therefore, the simplified expression for the given expression is  [tex]4\sqrt[3]{6}[/tex] which is option B.

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