Simplify Square Root of 94495

What is the square root of 94495 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.

√94495 = A√B

Unfortunately, the square root of 94495 cannot be simplified. Thus, here is the answer to the square root of 94495 in its simplest form:

√ 94495 = √ 94495

Here are two different methods we used to determine why the square root of 94495 cannot be simplified.

1) To be able to simplify the square root of 94495, one of the factors of 94495 other than 1 must be a perfect square. The factors of 94495 are 1, 5, 18899, and 94495. Since none of these factors are perfect squares, the square root of 94495 cannot be simplified.

2) To be able to simplify the square root of 94495, all the prime factors of 94495 cannot be unique. When we did prime factorization of 94495, we found that 5 x 18899 equals 94495. Since all the prime factors are unique, the square root of 94495 cannot be simplified.

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