Simplify Square Root of 75503

What is the square root of 75503 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.

√75503 = A√B

Unfortunately, the square root of 75503 cannot be simplified. Thus, here is the answer to the square root of 75503 in its simplest form:

√ 75503 = √ 75503

Here are two different methods we used to determine why the square root of 75503 cannot be simplified.

1) To be able to simplify the square root of 75503, one of the factors of 75503 other than 1 must be a perfect square. The factors of 75503 are 1 and 75503. Since none of these factors are perfect squares, the square root of 75503 cannot be simplified.

2) To be able to simplify the square root of 75503, all the prime factors of 75503 cannot be unique. When we did prime factorization of 75503, we found that 75503 equals 75503. Since all the prime factors are unique, the square root of 75503 cannot be simplified.

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