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Simplify (i) (3-sqrt(11))(3+sqrt(11))...

Simplify
(i) `(3-sqrt(11))(3+sqrt(11))` (ii) `(-3+ sqrt(5))(-3-sqrt(3)-sqrt(5))`
(iii) `(3- sqrt(3))^(2) ` (iv)` (sqrt(5) - sqrt(3))^(2)`
(v) `(5+ sqrt(7))(2+ sqrt(5))` (vi) `(sqrt(5) - sqrt(2))(sqrt(2) - sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
(i) -2 (ii) 4 (iii) `12-6sqrt(3)` (iv) `8-2sqrt(15)` (v) `10+5sqrt(5) + 2sqrt(7) + sqrt(35)` (vi) `sqrt(10)-sqrt(15) - 2 + sqrt(6)`
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