Simplify Square Root of 20602




What is the square root of 20602 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.

20602 = A√B

Unfortunately, the square root of 20602 cannot be simplified. Thus, here is the answer to the square root of 20602 in its simplest form:

20602 = √ 20602


Here are two different methods we used to determine why the square root of 20602 cannot be simplified.

1) To be able to simplify the square root of 20602, one of the factors of 20602 other than 1 must be a perfect square. The factors of 20602 are 1, 2, 10301, and 20602. Since none of these factors are perfect squares, the square root of 20602 cannot be simplified.

2) To be able to simplify the square root of 20602, all the prime factors of 20602 cannot be unique. When we did prime factorization of 20602, we found that 2 x 10301 equals 20602. Since all the prime factors are unique, the square root of 20602 cannot be simplified.



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