Simplify Square Root of 60242

What is the square root of 60242 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.

√60242 = A√B

Unfortunately, the square root of 60242 cannot be simplified. Thus, here is the answer to the square root of 60242 in its simplest form:

√ 60242 = √ 60242

Here are two different methods we used to determine why the square root of 60242 cannot be simplified.

1) To be able to simplify the square root of 60242, one of the factors of 60242 other than 1 must be a perfect square. The factors of 60242 are 1, 2, 7, 13, 14, 26, 91, 182, 331, 662, 2317, 4303, 4634, 8606, 30121, and 60242. Since none of these factors are perfect squares, the square root of 60242 cannot be simplified.

2) To be able to simplify the square root of 60242, all the prime factors of 60242 cannot be unique. When we did prime factorization of 60242, we found that 2 x 7 x 13 x 331 equals 60242. Since all the prime factors are unique, the square root of 60242 cannot be simplified.

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