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 ...

You visited us 82 times! Enjoying our articles? Unlock Full Access!

Operations on Binomial Surds

Simplify :11+...

Question

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

114

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

124

No worries! We‘ve got your back. Try BYJU‘S free classes today!

164

No worries! We‘ve got your back. Try BYJU‘S free classes today!

109

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

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

Suggest Corrections

Similar questions

\frac{7}{11} \times \frac{5}{6}

(\sqrt{1} 1 - \sqrt{7}) (\sqrt{1} 1 + \sqrt{7})

(\sqrt{11} - \sqrt{7}) (\sqrt{11} + \sqrt{7})

\sqrt{11}

\sqrt{7}

(\sqrt{11} - \sqrt{7}) (\sqrt{11} + \sqrt{7})

Join BYJU'S Learning Program