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go step by step to reduce the radical. \\(\\sqrt{208}\\) \\(\\sqrt{\\sq…

Question

go step by step to reduce the radical.
\\(\sqrt{208}\\)
\\(\sqrt{\square}\\) \\(\sqrt{\square}\\)
answer attempt 1 out of 3
you must answer all questions above in order to submit.

Explanation:

Step1: Factor out perfect square

$208 = 16 \times 13$

Step2: Split radical using product rule

$\sqrt{208} = \sqrt{16} \times \sqrt{13}$

Step3: Simplify perfect square radical

$\sqrt{16} = 4$

Answer:

$\sqrt{16}\sqrt{13}$ (intermediate step), final simplified form: $4\sqrt{13}$