What is the Square Root of 8000 in Simplest Radical Form?

Square Root of 8000 in Simplest Radical Form

Here we answer "What is the square root of 8000 (√8000) in simplest radical form?" The square root of 8000 in its simplest form means to get the number 8000 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 8000 like this:

√8000

The largest perfect square of the factors of 8000 is 1600. We can therefore convert √8000 like this:

√1600 × 5

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

√1600 × √5

√1600 is a perfect square that equals 40. We can therefore put 40 outside the radical and get the final answer to square root of 8000 in simplest radical form as follows:

40√5

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