What is the Square Root of 392 in Simplest Radical Form?

Square Root of 392 in Simplest Radical Form

Here we answer "What is the square root of 392 (√392) in simplest radical form?" The square root of 392 in its simplest form means to get the number 392 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 392 like this:

√392

The largest perfect square of the factors of 392 is 196. We can therefore convert √392 like this:

√196 × 2

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

√196 × √2

√196 is a perfect square that equals 14. We can therefore put 14 outside the radical and get the final answer to square root of 392 in simplest radical form as follows:

14√2

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