What is the Square Root of 384 in Simplest Radical Form?

Square Root of 384 in Simplest Radical Form

Here we answer "What is the square root of 384 (√384) in simplest radical form?" The square root of 384 in its simplest form means to get the number 384 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 384 like this:

√384

The largest perfect square of the factors of 384 is 64. We can therefore convert √384 like this:

√64 × 6

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

√64 × √6

√64 is a perfect square that equals 8. We can therefore put 8 outside the radical and get the final answer to square root of 384 in simplest radical form as follows:

8√6

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