Simplify Square Root of 62293

What is the square root of 62293 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.

√62293 = A√B

Unfortunately, the square root of 62293 cannot be simplified. Thus, here is the answer to the square root of 62293 in its simplest form:

√ 62293 = √ 62293

Here are two different methods we used to determine why the square root of 62293 cannot be simplified.

1) To be able to simplify the square root of 62293, one of the factors of 62293 other than 1 must be a perfect square. The factors of 62293 are 1, 7, 11, 77, 809, 5663, 8899, and 62293. Since none of these factors are perfect squares, the square root of 62293 cannot be simplified.

2) To be able to simplify the square root of 62293, all the prime factors of 62293 cannot be unique. When we did prime factorization of 62293, we found that 7 x 11 x 809 equals 62293. Since all the prime factors are unique, the square root of 62293 cannot be simplified.

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