Three square Root two divided by square root six plus square root two

3 √2 : √6 + √2

3 √2 : √6 + 2

3 √2 : √8

3 / √4

3/2

1 1/2

√3 / √6 + √2

to make the denominator whole number, you need to multiply with the opposite

so, it became √3 / √6 + √2 * √6 - 2 / √6 - 2

you multiply √3 and √6 - 2.

and multiply √6 + √2 and √6 - √2. if you multiply √6 and √6, it is 6. the same goes for √2.

The next step is √18 - √6 / 6 - 2.

√18 is the same as 3√2.

The answer is 3√2 - √6 / 4.