Simplify Square Root of 94606

What is the square root of 94606 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.

√94606 = A√B

Unfortunately, the square root of 94606 cannot be simplified. Thus, here is the answer to the square root of 94606 in its simplest form:

√ 94606 = √ 94606

Here are two different methods we used to determine why the square root of 94606 cannot be simplified.

1) To be able to simplify the square root of 94606, one of the factors of 94606 other than 1 must be a perfect square. The factors of 94606 are 1, 2, 47303, and 94606. Since none of these factors are perfect squares, the square root of 94606 cannot be simplified.

2) To be able to simplify the square root of 94606, all the prime factors of 94606 cannot be unique. When we did prime factorization of 94606, we found that 2 x 47303 equals 94606. Since all the prime factors are unique, the square root of 94606 cannot be simplified.

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