Simplify Square Root of 60262

What is the square root of 60262 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.

√60262 = A√B

Unfortunately, the square root of 60262 cannot be simplified. Thus, here is the answer to the square root of 60262 in its simplest form:

√ 60262 = √ 60262

Here are two different methods we used to determine why the square root of 60262 cannot be simplified.

1) To be able to simplify the square root of 60262, one of the factors of 60262 other than 1 must be a perfect square. The factors of 60262 are 1, 2, 29, 58, 1039, 2078, 30131, and 60262. Since none of these factors are perfect squares, the square root of 60262 cannot be simplified.

2) To be able to simplify the square root of 60262, all the prime factors of 60262 cannot be unique. When we did prime factorization of 60262, we found that 2 x 29 x 1039 equals 60262. Since all the prime factors are unique, the square root of 60262 cannot be simplified.

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