Simplify Square Root of 62009

What is the square root of 62009 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.

√62009 = A√B

Unfortunately, the square root of 62009 cannot be simplified. Thus, here is the answer to the square root of 62009 in its simplest form:

√ 62009 = √ 62009

Here are two different methods we used to determine why the square root of 62009 cannot be simplified.

1) To be able to simplify the square root of 62009, one of the factors of 62009 other than 1 must be a perfect square. The factors of 62009 are 1, 59, 1051, and 62009. Since none of these factors are perfect squares, the square root of 62009 cannot be simplified.

2) To be able to simplify the square root of 62009, all the prime factors of 62009 cannot be unique. When we did prime factorization of 62009, we found that 59 x 1051 equals 62009. Since all the prime factors are unique, the square root of 62009 cannot be simplified.

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