√2/(√6+2)=?

A √3+2

B √3+√2x

C √3-√2

D 3-√2

Correct Answer: Option C

√2 /(√6+2)

= √2 /(√(3.2)+√2.√2)
= √2/ {√2(√3 + √2)}
= 1 x (√3 - √2)/ (√3 + √2) x (√3 - √2)
= √3 - √2/ (√3)² - (√2)²
= (√3 - √2) / (3 - 2)
= √3 - √2