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Answer :
Answer: 4√13
Step-by-step explanation:
We should first do the prime factorization of 208 under the square root, then remove all the pairs, as the square root two numbers multiplied by each other is just the number.
[tex]\sqrt{208}\\=\sqrt{2\cdot2\cdot2\cdot2\cdot13}\\=(2\cdot2)\sqrt{13}\\=4\sqrt{13}[/tex]
So, the simplest form of √208 is 4√13.
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