Question

How do i simplify this expression?

Answer 1

The answer to your question is 12/7 - 4
`√(2)`/ 7

Explanation:

Data

`(4)/(3 - √(2))`

Process

1.- Multiply by the reciprocal of the denominator

The reciprocal is 3 +
`√(2)`

`(4)/(3 - √(2)) (3 + √(2))/(3 + √(2))`

-Simplification

`((4)(3) + 4√(2))/(3^(2) - 2)`

-Expand

=
`(12 + 4√(2))/(9 - 2)` =
`(12 - 4√(2))/(7)`

-Result

12/7 - 4
`√(2)`/ 7 It think it is not possible to simplify more.