Simplify Square Root of 96238

What is the square root of 96238 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.

√96238 = A√B

Unfortunately, the square root of 96238 cannot be simplified. Thus, here is the answer to the square root of 96238 in its simplest form:

√ 96238 = √ 96238

Here are two different methods we used to determine why the square root of 96238 cannot be simplified.

1) To be able to simplify the square root of 96238, one of the factors of 96238 other than 1 must be a perfect square. The factors of 96238 are 1, 2, 48119, and 96238. Since none of these factors are perfect squares, the square root of 96238 cannot be simplified.

2) To be able to simplify the square root of 96238, all the prime factors of 96238 cannot be unique. When we did prime factorization of 96238, we found that 2 x 48119 equals 96238. Since all the prime factors are unique, the square root of 96238 cannot be simplified.

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