Question

Which expression is equivalent to sqrt(2x^5/18)? Assume x greater than or equal to 0

Answer 1

The answer is A

Explanation:

The other guy is correct I'm just making it easier to get the answer quickly.

Answer 2

For this case we must indicate an expression equivalent to:

`\sqrt {\frac {2x ^ 5} {18}}`

We rewrite 18 as 2 * 9:

`\sqrt {\frac {2x ^ 5} {2 * 9}} =`

We simplify common factors:

`\sqrt {\frac {x ^ 5} {9}} =`

We rewrite:

`x ^ 5 = x ^ 4 * x = (x ^ 2) ^ 2 * x\\9 = 3 ^ 2`

So, we have:

`\sqrt {\frac {(x ^ 2) ^ 2 * x} {3 ^ 2}} =\\\sqrt {(\frac {x ^ 2} {3}) ^ 2 * x} =`

We get the terms of the radical "

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

Answer:

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