Simplify Square Root of 15094

What is the square root of 15094 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.

√15094 = A√B

Unfortunately, the square root of 15094 cannot be simplified. Thus, here is the answer to the square root of 15094 in its simplest form:

√ 15094 = √ 15094

Here are two different methods we used to determine why the square root of 15094 cannot be simplified.

1) To be able to simplify the square root of 15094, one of the factors of 15094 other than 1 must be a perfect square. The factors of 15094 are 1, 2, 7547, and 15094. Since none of these factors are perfect squares, the square root of 15094 cannot be simplified.

2) To be able to simplify the square root of 15094, all the prime factors of 15094 cannot be unique. When we did prime factorization of 15094, we found that 2 x 7547 equals 15094. Since all the prime factors are unique, the square root of 15094 cannot be simplified.

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