What is the Square Root of 468 in Simplest Radical Form?

Square Root of 468 in Simplest Radical Form

Here we answer "What is the square root of 468 (√468) in simplest radical form?" The square root of 468 in its simplest form means to get the number 468 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 468 like this:

√468

The largest perfect square of the factors of 468 is 36. We can therefore convert √468 like this:

√36 × 13

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

√36 × √13

√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 468 in simplest radical form as follows:

6√13

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