What is the Square Root of 363 in Simplest Radical Form?

Square Root of 363 in Simplest Radical Form

Here we answer "What is the square root of 363 (√363) in simplest radical form?" The square root of 363 in its simplest form means to get the number 363 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 363 like this:

√363

The largest perfect square of the factors of 363 is 121. We can therefore convert √363 like this:

√121 × 3

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

√121 × √3

√121 is a perfect square that equals 11. We can therefore put 11 outside the radical and get the final answer to square root of 363 in simplest radical form as follows:

11√3

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