Question

Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0

Answer 1

`\sqrt{(2x^(5) )/(18) }` =
`\frac{\sqrt{x^(5) } }{3}`

Explanation:

Given expression

`\sqrt{(2x^(5) )/(18) }`

we know that the algebra formula

`\sqrt{(a)/(b) } = (√(a) )/(√(b) )`

`\sqrt{(2x^(5) )/(18) } = \frac{√(2) \sqrt{x^(5) } }{√(18) } = \frac{√(2) \sqrt{x^(5) } }{√(9) √(2) }`

=
`\frac{\sqrt{x^(5) } }{3}`