iran-konkur 2014 Q101

iran-konkur · Other · konkur-riazi_1393 4 marks Indices and Surds Simplifying Surd Expressions
101- What is the value of $2\sqrt[4]{2} \cdot \sqrt[4]{2\sqrt{2}} \cdot (\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}})$?
(1) $\sqrt{3}$ (2) $2$ (3) $1+\sqrt{3}$ (4) $2\sqrt{3}$
\textbf{101-} What is the value of $2\sqrt[4]{2} \cdot \sqrt[4]{2\sqrt{2}} \cdot (\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}})$?

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(1) $\sqrt{3}$ \hfill (2) $2$ \hfill (3) $1+\sqrt{3}$ \hfill (4) $2\sqrt{3}$

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