What is the Square Root of 747 in Simplest Radical Form?

Square Root of 747 in Simplest Radical Form

Here we answer "What is the square root of 747 (√747) in simplest radical form?" The square root of 747 in its simplest form means to get the number 747 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 747 like this:

√747

The largest perfect square of the factors of 747 is 9. We can therefore convert √747 like this:

√9 × 83

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

√9 × √83

√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 747 in simplest radical form as follows:

3√83

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