√২ / (√৬ + ২) = কত?

A √৩ + √২

B ৩ - √২

C √৩ + ২

D √৩ - √২

Solution

Correct Answer: Option D

√২ /( √৬ + ২)
= √২ / (√৩ √২ + √২ √২) 
= √২ / {√২(√৩  + √২)}
= ১ / (√৩  + √২)
= ১ (√৩  - √২) /{(√৩  + √২) (√৩  - √২)}
= (√৩  - √২) / (৩ - ২)
= (√৩  - √২) / ১
= (√৩  - √২)

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