Simplify Square Root of 15098

What is the square root of 15098 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.

√15098 = A√B

Unfortunately, the square root of 15098 cannot be simplified. Thus, here is the answer to the square root of 15098 in its simplest form:

√ 15098 = √ 15098

Here are two different methods we used to determine why the square root of 15098 cannot be simplified.

1) To be able to simplify the square root of 15098, one of the factors of 15098 other than 1 must be a perfect square. The factors of 15098 are 1, 2, 7549, and 15098. Since none of these factors are perfect squares, the square root of 15098 cannot be simplified.

2) To be able to simplify the square root of 15098, all the prime factors of 15098 cannot be unique. When we did prime factorization of 15098, we found that 2 x 7549 equals 15098. Since all the prime factors are unique, the square root of 15098 cannot be simplified.

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