Simplify Square Root of 75289

What is the square root of 75289 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.

√75289 = A√B

Unfortunately, the square root of 75289 cannot be simplified. Thus, here is the answer to the square root of 75289 in its simplest form:

√ 75289 = √ 75289

Here are two different methods we used to determine why the square root of 75289 cannot be simplified.

1) To be able to simplify the square root of 75289, one of the factors of 75289 other than 1 must be a perfect square. The factors of 75289 are 1 and 75289. Since none of these factors are perfect squares, the square root of 75289 cannot be simplified.

2) To be able to simplify the square root of 75289, all the prime factors of 75289 cannot be unique. When we did prime factorization of 75289, we found that 75289 equals 75289. Since all the prime factors are unique, the square root of 75289 cannot be simplified.

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