Simplify Square Root of 53503

What is the square root of 53503 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.

√53503 = A√B

Unfortunately, the square root of 53503 cannot be simplified. Thus, here is the answer to the square root of 53503 in its simplest form:

√ 53503 = √ 53503

Here are two different methods we used to determine why the square root of 53503 cannot be simplified.

1) To be able to simplify the square root of 53503, one of the factors of 53503 other than 1 must be a perfect square. The factors of 53503 are 1 and 53503. Since none of these factors are perfect squares, the square root of 53503 cannot be simplified.

2) To be able to simplify the square root of 53503, all the prime factors of 53503 cannot be unique. When we did prime factorization of 53503, we found that 53503 equals 53503. Since all the prime factors are unique, the square root of 53503 cannot be simplified.

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