Simplify Square Root of 65446

What is the square root of 65446 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.

√65446 = A√B

Unfortunately, the square root of 65446 cannot be simplified. Thus, here is the answer to the square root of 65446 in its simplest form:

√ 65446 = √ 65446

Here are two different methods we used to determine why the square root of 65446 cannot be simplified.

1) To be able to simplify the square root of 65446, one of the factors of 65446 other than 1 must be a perfect square. The factors of 65446 are 1, 2, 43, 86, 761, 1522, 32723, and 65446. Since none of these factors are perfect squares, the square root of 65446 cannot be simplified.

2) To be able to simplify the square root of 65446, all the prime factors of 65446 cannot be unique. When we did prime factorization of 65446, we found that 2 x 43 x 761 equals 65446. Since all the prime factors are unique, the square root of 65446 cannot be simplified.

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