What is the Square Root of 5000 in Simplest Radical Form?

Square Root of 5000 in Simplest Radical Form

Here we answer "What is the square root of 5000 (√5000) in simplest radical form?" The square root of 5000 in its simplest form means to get the number 5000 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 5000 like this:

√5000

The largest perfect square of the factors of 5000 is 2500. We can therefore convert √5000 like this:

√2500 × 2

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

√2500 × √2

√2500 is a perfect square that equals 50. We can therefore put 50 outside the radical and get the final answer to square root of 5000 in simplest radical form as follows:

50√2

Simplest Radical Form Calculator
Here you can submit another square root that we will display in its simplest radical form.

Square Root of 5001 in Simplest Radical Form
See the next square root in its simplest radical form!