What is the Square Root of 3872 in Simplest Radical Form?

Square Root of 3872 in Simplest Radical Form

Here we answer "What is the square root of 3872 (√3872) in simplest radical form?" The square root of 3872 in its simplest form means to get the number 3872 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 3872 like this:

√3872

The largest perfect square of the factors of 3872 is 1936. We can therefore convert √3872 like this:

√1936 × 2

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

√1936 × √2

√1936 is a perfect square that equals 44. We can therefore put 44 outside the radical and get the final answer to square root of 3872 in simplest radical form as follows:

44√2

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