What is the Square Root of 972 in Simplest Radical Form?

Square Root of 972 in Simplest Radical Form

Here we answer "What is the square root of 972 (√972) in simplest radical form?" The square root of 972 in its simplest form means to get the number 972 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 972 like this:

√972

The largest perfect square of the factors of 972 is 324. We can therefore convert √972 like this:

√324 × 3

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

√324 × √3

√324 is a perfect square that equals 18. We can therefore put 18 outside the radical and get the final answer to square root of 972 in simplest radical form as follows:

18√3

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