Ryoichi Ryoichi
  • 17-05-2025
  • Mathematics
High School

Find the square root of 208 in simplest radical form.

Answer :

Dinofish32 Dinofish32
  • 04-10-2023

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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