Simplify Square Root of 61049

What is the square root of 61049 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.

√61049 = A√B

Unfortunately, the square root of 61049 cannot be simplified. Thus, here is the answer to the square root of 61049 in its simplest form:

√ 61049 = √ 61049

Here are two different methods we used to determine why the square root of 61049 cannot be simplified.

1) To be able to simplify the square root of 61049, one of the factors of 61049 other than 1 must be a perfect square. The factors of 61049 are 1, 41, 1489, and 61049. Since none of these factors are perfect squares, the square root of 61049 cannot be simplified.

2) To be able to simplify the square root of 61049, all the prime factors of 61049 cannot be unique. When we did prime factorization of 61049, we found that 41 x 1489 equals 61049. Since all the prime factors are unique, the square root of 61049 cannot be simplified.

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