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

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

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

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