Simplify Square Root of 52610

What is the square root of 52610 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.

√52610 = A√B

Unfortunately, the square root of 52610 cannot be simplified. Thus, here is the answer to the square root of 52610 in its simplest form:

√ 52610 = √ 52610

Here are two different methods we used to determine why the square root of 52610 cannot be simplified.

1) To be able to simplify the square root of 52610, one of the factors of 52610 other than 1 must be a perfect square. The factors of 52610 are 1, 2, 5, 10, 5261, 10522, 26305, and 52610. Since none of these factors are perfect squares, the square root of 52610 cannot be simplified.

2) To be able to simplify the square root of 52610, all the prime factors of 52610 cannot be unique. When we did prime factorization of 52610, we found that 2 x 5 x 5261 equals 52610. Since all the prime factors are unique, the square root of 52610 cannot be simplified.

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