Question

Which expression is equivalent to Assume

Answer 1

it's the second option. 

Answer 2

Option 2 is correct.

`(x^2√(x))/(3)` expression is equivalent to
`\sqrt{(2x^5)/(18)`

Step-by-step explanation:

Given the expression :
`\sqrt{(2x^5)/(18)`

Radical form refers to a form of an algebraic expression in which we have a number or an expression underneath a radical.

Any algebraic expression involving exponents then, we can write it in radical form based on the fact that
`x^{(a)/(n)}` is equivalent to the nth root of
`x^a` i.e,

`x^{(a)/(n)}` =
`\sqrt[n]{x^a}`

then, we can write the given expression as:

`\sqrt{(2 \cdot x^4 \cdot x)/(18) }` =
`\sqrt{(x^4 \cdot x)/(9)` =
`\sqrt{(x^4 \cdot x)/(3^2)`

or

`(x^2√(x))/(3)`