What is the Square Root of 7648 in Simplest Radical Form?

Square Root of 7648 in Simplest Radical Form

Here we answer "What is the square root of 7648 (√7648) in simplest radical form?" The square root of 7648 in its simplest form means to get the number 7648 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 7648 like this:

√7648

The largest perfect square of the factors of 7648 is 16. We can therefore convert √7648 like this:

√16 × 478

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

√16 × √478

√16 is a perfect square that equals 4. We can therefore put 4 outside the radical and get the final answer to square root of 7648 in simplest radical form as follows:

4√478

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