What is the Square Root of 8825 in Simplest Radical Form?

Square Root of 8825 in Simplest Radical Form

Here we answer "What is the square root of 8825 (√8825) in simplest radical form?" The square root of 8825 in its simplest form means to get the number 8825 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 8825 like this:

√8825

The largest perfect square of the factors of 8825 is 25. We can therefore convert √8825 like this:

√25 × 353

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

√25 × √353

√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 8825 in simplest radical form as follows:

5√353

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