What is the Square Root of 4625 in Simplest Radical Form?

Square Root of 4625 in Simplest Radical Form

Here we answer "What is the square root of 4625 (√4625) in simplest radical form?" The square root of 4625 in its simplest form means to get the number 4625 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 4625 like this:

√4625

The largest perfect square of the factors of 4625 is 25. We can therefore convert √4625 like this:

√25 × 185

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

√25 × √185

√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 4625 in simplest radical form as follows:

5√185

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