What is the Square Root of 5766 in Simplest Radical Form?

Square Root of 5766 in Simplest Radical Form

Here we answer "What is the square root of 5766 (√5766) in simplest radical form?" The square root of 5766 in its simplest form means to get the number 5766 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 5766 like this:

√5766

The largest perfect square of the factors of 5766 is 961. We can therefore convert √5766 like this:

√961 × 6

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

√961 × √6

√961 is a perfect square that equals 31. We can therefore put 31 outside the radical and get the final answer to square root of 5766 in simplest radical form as follows:

31√6

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