What is the Square Root of 428 in Simplest Radical Form?

Square Root of 428 in Simplest Radical Form

Here we answer "What is the square root of 428 (√428) in simplest radical form?" The square root of 428 in its simplest form means to get the number 428 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 428 like this:

√428

The largest perfect square of the factors of 428 is 4. We can therefore convert √428 like this:

√4 × 107

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

√4 × √107

√4 is a perfect square that equals 2. We can therefore put 2 outside the radical and get the final answer to square root of 428 in simplest radical form as follows:

2√107

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