Simplify Square Root of 42269

What is the square root of 42269 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.

√42269 = A√B

Unfortunately, the square root of 42269 cannot be simplified. Thus, here is the answer to the square root of 42269 in its simplest form:

√ 42269 = √ 42269

Here are two different methods we used to determine why the square root of 42269 cannot be simplified.

1) To be able to simplify the square root of 42269, one of the factors of 42269 other than 1 must be a perfect square. The factors of 42269 are 1, 43, 983, and 42269. Since none of these factors are perfect squares, the square root of 42269 cannot be simplified.

2) To be able to simplify the square root of 42269, all the prime factors of 42269 cannot be unique. When we did prime factorization of 42269, we found that 43 x 983 equals 42269. Since all the prime factors are unique, the square root of 42269 cannot be simplified.

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