What is the Square Root of 675 in Simplest Radical Form?

Square Root of 675 in Simplest Radical Form

Here we answer "What is the square root of 675 (√675) in simplest radical form?" The square root of 675 in its simplest form means to get the number 675 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 675 like this:

√675

The largest perfect square of the factors of 675 is 225. We can therefore convert √675 like this:

√225 × 3

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

√225 × √3

√225 is a perfect square that equals 15. We can therefore put 15 outside the radical and get the final answer to square root of 675 in simplest radical form as follows:

15√3

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