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123

Which expression is equivalent to | 18 ? Assume x 20.
o
3x
O
3
0
2x
3

123 Which expression is equivalent to | 18 ? Assume x 20. o 3x O 3 0 2x 3-example-1

1 Answer

5 votes

First, I'm going to separate factor the expression inside of the square root.

sqrt[ (2/18) * (x^5) ]

sqrt[ (1/9) * (x^5) ]

We can take the square root of 1/9 easily, because 1 and 9 are both perfect squares. The square root of 1/9 is 1/3.

Looking at the x^5, we can separate it into x^2 * x^2 * x^1. The square root of x^2 is x. So, we now also have an x^2 on the outside because there are two x^2s in our expanded form.

ANSWER: (x^2 * sqrt(x)) / 3

(Option 1)

Hope this helps!

User Andrew Myhre
by
8.6k points

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