Simplify Square Root of 95345

What is the square root of 95345 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.

√95345 = A√B

Unfortunately, the square root of 95345 cannot be simplified. Thus, here is the answer to the square root of 95345 in its simplest form:

√ 95345 = √ 95345

Here are two different methods we used to determine why the square root of 95345 cannot be simplified.

1) To be able to simplify the square root of 95345, one of the factors of 95345 other than 1 must be a perfect square. The factors of 95345 are 1, 5, 19069, and 95345. Since none of these factors are perfect squares, the square root of 95345 cannot be simplified.

2) To be able to simplify the square root of 95345, all the prime factors of 95345 cannot be unique. When we did prime factorization of 95345, we found that 5 x 19069 equals 95345. Since all the prime factors are unique, the square root of 95345 cannot be simplified.

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