Simplify Square Root of 91230

What is the square root of 91230 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.

√91230 = A√B

Unfortunately, the square root of 91230 cannot be simplified. Thus, here is the answer to the square root of 91230 in its simplest form:

√ 91230 = √ 91230

Here are two different methods we used to determine why the square root of 91230 cannot be simplified.

1) To be able to simplify the square root of 91230, one of the factors of 91230 other than 1 must be a perfect square. The factors of 91230 are 1, 2, 3, 5, 6, 10, 15, 30, 3041, 6082, 9123, 15205, 18246, 30410, 45615, and 91230. Since none of these factors are perfect squares, the square root of 91230 cannot be simplified.

2) To be able to simplify the square root of 91230, all the prime factors of 91230 cannot be unique. When we did prime factorization of 91230, we found that 2 x 3 x 5 x 3041 equals 91230. Since all the prime factors are unique, the square root of 91230 cannot be simplified.

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