Simplify Square Root of 2929

What is the square root of 2929 in its simplest radical form? To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

√2929 = A√B

Unfortunately, the square root of 2929 cannot be simplified. Thus, here is the answer to the square root of 2929 in its simplest form:

√ 2929 = √ 2929

Here are two different methods we used to determine why the square root of 2929 cannot be simplified.

1) To be able to simplify the square root of 2929, one of the factors of 2929 other than 1 must be a perfect square. The factors of 2929 are 1, 29, 101, and 2929. Since none of these factors are perfect squares, the square root of 2929 cannot be simplified.

2) To be able to simplify the square root of 2929, all the prime factors of 2929 cannot be unique. When we did prime factorization of 2929, we found that 29 x 101 equals 2929. Since all the prime factors are unique, the square root of 2929 cannot be simplified.

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