Answer :

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√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.

3 √2 ÷ √6 + √2
3 √2 ÷ √6 + 2
3 √2 ÷ √8
3/ √4
3/2
1 1/2