What is the Square Root of 3648 in Simplest Radical Form?

Square Root of 3648 in Simplest Radical Form

Here we answer "What is the square root of 3648 (√3648) in simplest radical form?" The square root of 3648 in its simplest form means to get the number 3648 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 3648 like this:

√3648

The largest perfect square of the factors of 3648 is 64. We can therefore convert √3648 like this:

√64 × 57

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

√64 × √57

√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 3648 in simplest radical form as follows:

8√57

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