What is the Square Root of 192 in Simplest Radical Form?

Square Root of 192 in Simplest Radical Form

Here we answer "What is the square root of 192 (√192) in simplest radical form?" The square root of 192 in its simplest form means to get the number 192 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 192 like this:

√192

The largest perfect square of the factors of 192 is 64. We can therefore convert √192 like this:

√64 × 3

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

√64 × √3

√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 192 in simplest radical form as follows:

8√3

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