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Question Number 159839 by abelpedro last updated on 21/Nov/21

$$q=2\sqrt{2\sqrt{2}}$$

Answered by abdullah_ff last updated on 21/Nov/21

$$q=2\sqrt{2\sqrt{2}}$$$$=2\sqrt{2^1\cdot 2^{\frac{1}{2}}}$$$$=2\sqrt{2^{1+\frac{1}{2}}}$$$$=2\sqrt{2^{\frac{3}{2}}}$$$$=2^1\cdot 2^{\frac{3}{4}}$$$$=2^{\frac{7}{4}}$$

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