Simplify Square Root of 88923

What is the square root of 88923 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.

√88923 = A√B

Unfortunately, the square root of 88923 cannot be simplified. Thus, here is the answer to the square root of 88923 in its simplest form:

√ 88923 = √ 88923

Here are two different methods we used to determine why the square root of 88923 cannot be simplified.

1) To be able to simplify the square root of 88923, one of the factors of 88923 other than 1 must be a perfect square. The factors of 88923 are 1, 3, 29641, and 88923. Since none of these factors are perfect squares, the square root of 88923 cannot be simplified.

2) To be able to simplify the square root of 88923, all the prime factors of 88923 cannot be unique. When we did prime factorization of 88923, we found that 3 x 29641 equals 88923. Since all the prime factors are unique, the square root of 88923 cannot be simplified.

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