The correct option is A 114Using the identity: (a+b)(a b) = a^2 b^2 (11+√(7))(11 √(7)) = 11^2 (√(7))^2 = 121 7 = 114 ...

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Operations on Binomial Surds

Simplify :11+...

Question

Simplify : $(11 + \sqrt{7}) (11 - \sqrt{7})$

114

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124

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164

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109

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Solution

The correct option is A 114
Using the identity:
$(a + b) (a - b) = a^{2} - b^{2}$

$(11 + \sqrt{7}) (11 - \sqrt{7}) = 11^{2} - (\sqrt{7})^{2} = 121 - 7 = 114$

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