What is the Square Root of 4949 in Simplest Radical Form?

Square Root of 4949 in Simplest Radical Form

Here we answer "What is the square root of 4949 (√4949) in simplest radical form?" The square root of 4949 in its simplest form means to get the number 4949 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 4949 like this:

√4949

The largest perfect square of the factors of 4949 is 49. We can therefore convert √4949 like this:

√49 × 101

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

√49 × √101

√49 is a perfect square that equals 7. We can therefore put 7 outside the radical and get the final answer to square root of 4949 in simplest radical form as follows:

7√101

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