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Daniel [21]
3 years ago
5

Which expression is equivalent to square root 8/x^6? assume x > 0

Mathematics
2 answers:
belka [17]3 years ago
8 0

Answer:

\frac{2\sqrt{2}}{x^3}

Step-by-step explanation:

\sqrt{\frac{8}{x^6} }

To simplify the given expression we take square root for the top and bottom

\frac{\sqrt{8} }{\sqrt{x^6} }

\sqrt{8} =\sqrt{4*2} =2\sqrt{2}

\sqrt{x^6} =\sqrt{x^3*x^3} =x^3

Replace it in our problem

\frac{2\sqrt{2}}{x^3}

Alik [6]3 years ago
3 0
<h2>Answer:</h2>

<u>The equivalent expression is </u><u> (2 / x ^ 3) * sqrt (2)</u>

<h2>Step-by-step explanation:</h2>

We have sqrt 8 / x ^ 6

 Rewriting the expression:

 =sqrt (8 / x ^ 6)

 =sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

 =(2 / (x * x * x)) sqrt (2)

= (2 / x ^ 3) * sqrt (2)

We get finally

 (2 / x ^ 3) * sqrt (2)

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