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The value of 16×16\sqrt{16 \times \sqrt{16}}16×16 is
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Evaluating, 16×16=16×4=64=8\sqrt{16\times \sqrt{16}} = \sqrt{16 \times 4} = \sqrt{64} = 816×16=16×4=64=8 Since 8=2×2×2=238 = 2\times 2\times 2 = 2^38=2×2×2=23, then 16×16=23\sqrt{16\times \sqrt{16}} = 2^316×16=23.
Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.