Simplify Square Root of 27605

What is the square root of 27605 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.

√27605 = A√B

Unfortunately, the square root of 27605 cannot be simplified. Thus, here is the answer to the square root of 27605 in its simplest form:

√ 27605 = √ 27605

Here are two different methods we used to determine why the square root of 27605 cannot be simplified.

1) To be able to simplify the square root of 27605, one of the factors of 27605 other than 1 must be a perfect square. The factors of 27605 are 1, 5, 5521, and 27605. Since none of these factors are perfect squares, the square root of 27605 cannot be simplified.

2) To be able to simplify the square root of 27605, all the prime factors of 27605 cannot be unique. When we did prime factorization of 27605, we found that 5 x 5521 equals 27605. Since all the prime factors are unique, the square root of 27605 cannot be simplified.

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