What is the Square Root of 338 in Simplest Radical Form?

Square Root of 338 in Simplest Radical Form

Here we answer "What is the square root of 338 (√338) in simplest radical form?" The square root of 338 in its simplest form means to get the number 338 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 338 like this:

√338

The largest perfect square of the factors of 338 is 169. We can therefore convert √338 like this:

√169 × 2

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

√169 × √2

√169 is a perfect square that equals 13. We can therefore put 13 outside the radical and get the final answer to square root of 338 in simplest radical form as follows:

13√2

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