What is the Square Root of 1875 in Simplest Radical Form?

Square Root of 1875 in Simplest Radical Form

Here we answer "What is the square root of 1875 (√1875) in simplest radical form?" The square root of 1875 in its simplest form means to get the number 1875 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 1875 like this:

√1875

The largest perfect square of the factors of 1875 is 625. We can therefore convert √1875 like this:

√625 × 3

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

√625 × √3

√625 is a perfect square that equals 25. We can therefore put 25 outside the radical and get the final answer to square root of 1875 in simplest radical form as follows:

25√3

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