Simplify Square Root of 15494

What is the square root of 15494 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.

√15494 = A√B

Unfortunately, the square root of 15494 cannot be simplified. Thus, here is the answer to the square root of 15494 in its simplest form:

√ 15494 = √ 15494

Here are two different methods we used to determine why the square root of 15494 cannot be simplified.

1) To be able to simplify the square root of 15494, one of the factors of 15494 other than 1 must be a perfect square. The factors of 15494 are 1, 2, 61, 122, 127, 254, 7747, and 15494. Since none of these factors are perfect squares, the square root of 15494 cannot be simplified.

2) To be able to simplify the square root of 15494, all the prime factors of 15494 cannot be unique. When we did prime factorization of 15494, we found that 2 x 61 x 127 equals 15494. Since all the prime factors are unique, the square root of 15494 cannot be simplified.

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