Simplify Square Root of 10063




What is the square root of 10063 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.

10063 = A√B

Unfortunately, the square root of 10063 cannot be simplified. Thus, here is the answer to the square root of 10063 in its simplest form:

10063 = √ 10063


Here are two different methods we used to determine why the square root of 10063 cannot be simplified.

1) To be able to simplify the square root of 10063, one of the factors of 10063 other than 1 must be a perfect square. The factors of 10063 are 1, 29, 347, and 10063. Since none of these factors are perfect squares, the square root of 10063 cannot be simplified.

2) To be able to simplify the square root of 10063, all the prime factors of 10063 cannot be unique. When we did prime factorization of 10063, we found that 29 x 347 equals 10063. Since all the prime factors are unique, the square root of 10063 cannot be simplified.



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