Question

Simplify the following expression

Answer 1

Answer:
2√6

Step-by-step explanation:
Before we begin, remember the following:
√a * √b = √ab
√a * √a = a

Now, for the given:

`(6 √(2) )/( √(3) )`

Multiply both the numerator and the denominator by √3:

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

=
`(6 √(2) √(3) )/( √(3) √(3) )`

=
`(6 √(6) )/(3)`

This can be rewritten as:

`(6)/(3) √(6)` = 2√6

Hope this helps :)

Answer 2

We have the following expression:
(6root (2)) / (root (3))
Rationalizing we have:
(6root (2)) / (root (3)) * (root (3) / root (3))
Rewriting we have:
(6root (6)) / (3)
2root (6)
Answer:
The simplified expression for this case is given by:
2root (6)