What is the Square Root of 288 in Simplest Radical Form?

Square Root of 288 in Simplest Radical Form

Here we answer "What is the square root of 288 (√288) in simplest radical form?" The square root of 288 in its simplest form means to get the number 288 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 288 like this:

√288

The largest perfect square of the factors of 288 is 144. We can therefore convert √288 like this:

√144 × 2

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

√144 × √2

√144 is a perfect square that equals 12. We can therefore put 12 outside the radical and get the final answer to square root of 288 in simplest radical form as follows:

12√2

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