Simplify Square Root of 71898

What is the square root of 71898 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.

√71898 = A√B

Unfortunately, the square root of 71898 cannot be simplified. Thus, here is the answer to the square root of 71898 in its simplest form:

√ 71898 = √ 71898

Here are two different methods we used to determine why the square root of 71898 cannot be simplified.

1) To be able to simplify the square root of 71898, one of the factors of 71898 other than 1 must be a perfect square. The factors of 71898 are 1, 2, 3, 6, 23, 46, 69, 138, 521, 1042, 1563, 3126, 11983, 23966, 35949, and 71898. Since none of these factors are perfect squares, the square root of 71898 cannot be simplified.

2) To be able to simplify the square root of 71898, all the prime factors of 71898 cannot be unique. When we did prime factorization of 71898, we found that 2 x 3 x 23 x 521 equals 71898. Since all the prime factors are unique, the square root of 71898 cannot be simplified.

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