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which choice is equivalent to the quotient shown here for acceptable values of x? radical eight x squared divided by radical three x

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6 votes

Answer:

The equivalent expression is
\sqrt{(x)/(3)}.

Explanation:

We have the expression, 'radical eight x squared divided by radical three x'

Since, 'radical is referred to square root function'

So, the given expression is, 'square root of x squared divided by square root of three x'

That is, the expression is,
(√(x^2))/(√(3x))

i.e. Expression =
(x)/(√(3x))

i.e. Expression =
(√(x)√(x))/(√(3)√(x))

i.e. Expression =
(√(x))/(√(3))

i.e. Expression=
\sqrt{(x)/(3)}

Thus, the equivalent expression is
\sqrt{(x)/(3)}.

User Ifrah
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