What is the Square Root of 343 in Simplest Radical Form?

Square Root of 343 in Simplest Radical Form

Here we answer "What is the square root of 343 (√343) in simplest radical form?" The square root of 343 in its simplest form means to get the number 343 inside the radical √ as low as possible.

Here is how to do that! First we write the square root of 343 like this:

√343

The largest perfect square of the factors of 343 is 49. We can therefore convert √343 like this:

√49 × 7

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

√49 × √7

√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 343 in simplest radical form as follows:

7√7

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