Simplify Square Root of 62278

What is the square root of 62278 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.

√62278 = A√B

Unfortunately, the square root of 62278 cannot be simplified. Thus, here is the answer to the square root of 62278 in its simplest form:

√ 62278 = √ 62278

Here are two different methods we used to determine why the square root of 62278 cannot be simplified.

1) To be able to simplify the square root of 62278, one of the factors of 62278 other than 1 must be a perfect square. The factors of 62278 are 1, 2, 31139, and 62278. Since none of these factors are perfect squares, the square root of 62278 cannot be simplified.

2) To be able to simplify the square root of 62278, all the prime factors of 62278 cannot be unique. When we did prime factorization of 62278, we found that 2 x 31139 equals 62278. Since all the prime factors are unique, the square root of 62278 cannot be simplified.

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