What is the Square Root of 8192 in Simplest Radical Form?

Square Root of 8192 in Simplest Radical Form

Here we answer "What is the square root of 8192 (√8192) in simplest radical form?" The square root of 8192 in its simplest form means to get the number 8192 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 8192 like this:

√8192

The largest perfect square of the factors of 8192 is 4096. We can therefore convert √8192 like this:

√4096 × 2

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

√4096 × √2

√4096 is a perfect square that equals 64. We can therefore put 64 outside the radical and get the final answer to square root of 8192 in simplest radical form as follows:

64√2

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

Square Root of 8193 in Simplest Radical Form
See the next square root in its simplest radical form!