What is the Square Root of 300 in Simplest Radical Form?

Square Root of 300 in Simplest Radical Form

Here we answer "What is the square root of 300 (√300) in simplest radical form?" The square root of 300 in its simplest form means to get the number 300 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 300 like this:

√300

The largest perfect square of the factors of 300 is 100. We can therefore convert √300 like this:

√100 × 3

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

√100 × √3

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 300 in simplest radical form as follows:

10√3

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