What is the Square Root of 75 in Simplest Radical Form?

Square Root of 75 in Simplest Radical Form

Here we answer "What is the square root of 75 (√75) in simplest radical form?" The square root of 75 in its simplest form means to get the number 75 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 75 like this:

√75

The largest perfect square of the factors of 75 is 25. We can therefore convert √75 like this:

√25 × 3

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

√25 × √3

√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 75 in simplest radical form as follows:

5√3

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