What is the Square Root of 6375 in Simplest Radical Form?

Square Root of 6375 in Simplest Radical Form

Here we answer "What is the square root of 6375 (√6375) in simplest radical form?" The square root of 6375 in its simplest form means to get the number 6375 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 6375 like this:

√6375

The largest perfect square of the factors of 6375 is 25. We can therefore convert √6375 like this:

√25 × 255

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

√25 × √255

√25 is a perfect square that equals 5. We can therefore put 5 outside the radical and get the final answer to square root of 6375 in simplest radical form as follows:

5√255

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