Question

Which of the following is equivalent to

Answer 1

C

Explanation:

Using the rules of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)` and

`√(a)` ×
`√(a)` = a

Given

`(√(2a) )/(√(3) )`

Multiply the numerator/ denominator by
`√(3)`

=
`(√(2a) )/(√(3) )` ×
`(√(3) )/(√(3) )`

=
`(√(2a(3)) )/(3)` =
`(√(6a) )/(3)`

Answer 2

C

Explanation:

Multiply the numerator and denominator by sqrt 3 to rationalize the denominator.

`(√(2a))/(√(3)) * (√(3) )/(√(3) ) = (√(6a) )/(3)`