Simplify Square Root of 95303

What is the square root of 95303 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.

√95303 = A√B

Unfortunately, the square root of 95303 cannot be simplified. Thus, here is the answer to the square root of 95303 in its simplest form:

√ 95303 = √ 95303

Here are two different methods we used to determine why the square root of 95303 cannot be simplified.

1) To be able to simplify the square root of 95303, one of the factors of 95303 other than 1 must be a perfect square. The factors of 95303 are 1, 13, 7331, and 95303. Since none of these factors are perfect squares, the square root of 95303 cannot be simplified.

2) To be able to simplify the square root of 95303, all the prime factors of 95303 cannot be unique. When we did prime factorization of 95303, we found that 13 x 7331 equals 95303. Since all the prime factors are unique, the square root of 95303 cannot be simplified.

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