Simplify Square Root of 94562

What is the square root of 94562 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.

√94562 = A√B

Unfortunately, the square root of 94562 cannot be simplified. Thus, here is the answer to the square root of 94562 in its simplest form:

√ 94562 = √ 94562

Here are two different methods we used to determine why the square root of 94562 cannot be simplified.

1) To be able to simplify the square root of 94562, one of the factors of 94562 other than 1 must be a perfect square. The factors of 94562 are 1, 2, 13, 26, 3637, 7274, 47281, and 94562. Since none of these factors are perfect squares, the square root of 94562 cannot be simplified.

2) To be able to simplify the square root of 94562, all the prime factors of 94562 cannot be unique. When we did prime factorization of 94562, we found that 2 x 13 x 3637 equals 94562. Since all the prime factors are unique, the square root of 94562 cannot be simplified.

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