Simplify Square Root of 49193

What is the square root of 49193 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.

√49193 = A√B

Unfortunately, the square root of 49193 cannot be simplified. Thus, here is the answer to the square root of 49193 in its simplest form:

√ 49193 = √ 49193

Here are two different methods we used to determine why the square root of 49193 cannot be simplified.

1) To be able to simplify the square root of 49193, one of the factors of 49193 other than 1 must be a perfect square. The factors of 49193 are 1 and 49193. Since none of these factors are perfect squares, the square root of 49193 cannot be simplified.

2) To be able to simplify the square root of 49193, all the prime factors of 49193 cannot be unique. When we did prime factorization of 49193, we found that 49193 equals 49193. Since all the prime factors are unique, the square root of 49193 cannot be simplified.

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