What is the Square Root of 2166 in Simplest Radical Form?

Square Root of 2166 in Simplest Radical Form

Here we answer "What is the square root of 2166 (√2166) in simplest radical form?" The square root of 2166 in its simplest form means to get the number 2166 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 2166 like this:

√2166

The largest perfect square of the factors of 2166 is 361. We can therefore convert √2166 like this:

√361 × 6

Next, we separate the numbers inside the √ as such:

√361 × √6

√361 is a perfect square that equals 19. We can therefore put 19 outside the radical and get the final answer to square root of 2166 in simplest radical form as follows:

19√6

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