Simplify Square Root of 65449

What is the square root of 65449 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.

√65449 = A√B

Unfortunately, the square root of 65449 cannot be simplified. Thus, here is the answer to the square root of 65449 in its simplest form:

√ 65449 = √ 65449

Here are two different methods we used to determine why the square root of 65449 cannot be simplified.

1) To be able to simplify the square root of 65449, one of the factors of 65449 other than 1 must be a perfect square. The factors of 65449 are 1 and 65449. Since none of these factors are perfect squares, the square root of 65449 cannot be simplified.

2) To be able to simplify the square root of 65449, all the prime factors of 65449 cannot be unique. When we did prime factorization of 65449, we found that 65449 equals 65449. Since all the prime factors are unique, the square root of 65449 cannot be simplified.

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