Simplify Square Root of 69918

What is the square root of 69918 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.

√69918 = A√B

Unfortunately, the square root of 69918 cannot be simplified. Thus, here is the answer to the square root of 69918 in its simplest form:

√ 69918 = √ 69918

Here are two different methods we used to determine why the square root of 69918 cannot be simplified.

1) To be able to simplify the square root of 69918, one of the factors of 69918 other than 1 must be a perfect square. The factors of 69918 are 1, 2, 3, 6, 43, 86, 129, 258, 271, 542, 813, 1626, 11653, 23306, 34959, and 69918. Since none of these factors are perfect squares, the square root of 69918 cannot be simplified.

2) To be able to simplify the square root of 69918, all the prime factors of 69918 cannot be unique. When we did prime factorization of 69918, we found that 2 x 3 x 43 x 271 equals 69918. Since all the prime factors are unique, the square root of 69918 cannot be simplified.

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