What is the Square Root of 4000 in Simplest Radical Form?

Square Root of 4000 in Simplest Radical Form

Here we answer "What is the square root of 4000 (√4000) in simplest radical form?" The square root of 4000 in its simplest form means to get the number 4000 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 4000 like this:

√4000

The largest perfect square of the factors of 4000 is 400. We can therefore convert √4000 like this:

√400 × 10

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

√400 × √10

√400 is a perfect square that equals 20. We can therefore put 20 outside the radical and get the final answer to square root of 4000 in simplest radical form as follows:

20√10

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