Question

which choice is equivalent to the quotient shown here for acceptable values of x? radical eight x squared divided by radical three x

Answer 1

The equivalent expression is
`\sqrt{(x)/(3)}`.

Explanation:

We have the expression, 'radical eight x squared divided by radical three x'

Since, 'radical is referred to square root function'

So, the given expression is, 'square root of x squared divided by square root of three x'

That is, the expression is,
`(√(x^2))/(√(3x))`

i.e. Expression =
`(x)/(√(3x))`

i.e. Expression =
`(√(x)√(x))/(√(3)√(x))`

i.e. Expression =
`(√(x))/(√(3))`

i.e. Expression=
`\sqrt{(x)/(3)}`

Thus, the equivalent expression is
`\sqrt{(x)/(3)}`.