Simplify Square Root of 73091




What is the square root of 73091 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.

73091 = A√B

Unfortunately, the square root of 73091 cannot be simplified. Thus, here is the answer to the square root of 73091 in its simplest form:

73091 = √ 73091


Here are two different methods we used to determine why the square root of 73091 cannot be simplified.

1) To be able to simplify the square root of 73091, one of the factors of 73091 other than 1 must be a perfect square. The factors of 73091 are 1 and 73091. Since none of these factors are perfect squares, the square root of 73091 cannot be simplified.

2) To be able to simplify the square root of 73091, all the prime factors of 73091 cannot be unique. When we did prime factorization of 73091, we found that 73091 equals 73091. Since all the prime factors are unique, the square root of 73091 cannot be simplified.



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