What is the Square Root of 180 in Simplest Radical Form?

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Square Root of 180 in Simplest Radical Form

Here we answer "What is the square root of 180 (√180) in simplest radical form?" The square root of 180 in its simplest form means to get the number 180 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 180 like this:

√180

The largest perfect square of the factors of 180 is 36. We can therefore convert √180 like this:

√36 × 5

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

√36 × √5

√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 180 in simplest radical form as follows:

6√5

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