Question

Which choice is equivalent to the product below when x > 0? ​

Answer 1

B

Explanation:

Using the rules of radicals

`\sqrt{(a)/(b) }` =
`(√(a) )/(√(b) )`

Given

`\sqrt{(2)/(x) }` ×
`\sqrt{(x^2)/(8) }`

=
`\sqrt{(2x^2)/(8x) }` ← cancel 2 and 8 and x² and x

=
`\sqrt{(x)/(4) }`

=
`(√(x) )/(√(4) )`

=
`(√(x) )/(2)` → B