What is the Square Root of 360 in Simplest Radical Form?

Square Root of 360 in Simplest Radical Form

Here we answer "What is the square root of 360 (√360) in simplest radical form?" The square root of 360 in its simplest form means to get the number 360 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 360 like this:

√360

The largest perfect square of the factors of 360 is 36. We can therefore convert √360 like this:

√36 × 10

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

√36 × √10

√36 is a perfect square that equals 6. We can therefore put 6 outside the radical and get the final answer to square root of 360 in simplest radical form as follows:

6√10

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