Simplify Square Root of 52473




What is the square root of 52473 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.

52473 = A√B

Unfortunately, the square root of 52473 cannot be simplified. Thus, here is the answer to the square root of 52473 in its simplest form:

52473 = √ 52473


Here are two different methods we used to determine why the square root of 52473 cannot be simplified.

1) To be able to simplify the square root of 52473, one of the factors of 52473 other than 1 must be a perfect square. The factors of 52473 are 1, 3, 17491, and 52473. Since none of these factors are perfect squares, the square root of 52473 cannot be simplified.

2) To be able to simplify the square root of 52473, all the prime factors of 52473 cannot be unique. When we did prime factorization of 52473, we found that 3 x 17491 equals 52473. Since all the prime factors are unique, the square root of 52473 cannot be simplified.



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