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
This Question Belongs to Arithmetic Ability >> Simplification
Join The Discussion