The Value of ($$\sqrt {6} $$ + $$\sqrt {10} $$ - $$\sqrt {21} $$ - $$\sqrt {35} $$) × ($$\sqrt {6} $$ - $$\sqrt {10} $$ + $$\sqrt {21}$$ - $$\sqrt {35} $$) = ?

A. 27

B. 18

C. 40

D. 10

Answer: Option D

Solution(By Examveda Team)

($$\sqrt {6} $$  + $$\sqrt {10} $$  - $$\sqrt {21} $$  - $$\sqrt {35} $$) × ($$\sqrt {6} $$  - $$\sqrt {10} $$  + $$\sqrt {21} $$  - $$\sqrt {35} $$)
= {($$\sqrt {6} $$  - $$\sqrt {35} $$) + ($$\sqrt {10} $$  - $$\sqrt {21} $$)} × {($$\sqrt {6} $$  - $$\sqrt {35} $$) - ($$\sqrt {10} $$  - $$\sqrt {21} $$)}
= ($$\sqrt {6} $$  - $$\sqrt {35} $$)² - ($$\sqrt {10} $$  - $$\sqrt {21} $$)²
= 6 + 35 - 2$$\sqrt {210} $$  - 10 - 21 + 2$$\sqrt {210} $$
= 41 - 31
= 10