What is the Square Root of 5364 in Simplest Radical Form?

Square Root of 5364 in Simplest Radical Form

Here we answer "What is the square root of 5364 (√5364) in simplest radical form?" The square root of 5364 in its simplest form means to get the number 5364 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 5364 like this:

√5364

The largest perfect square of the factors of 5364 is 36. We can therefore convert √5364 like this:

√36 × 149

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

√36 × √149

√36 is a perfect square that equals 6. We can therefore put 6 outside the radical and get the final answer to square root of 5364 in simplest radical form as follows:

6√149

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