Simplify Square Root of 73230

What is the square root of 73230 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.

√73230 = A√B

Unfortunately, the square root of 73230 cannot be simplified. Thus, here is the answer to the square root of 73230 in its simplest form:

√ 73230 = √ 73230

Here are two different methods we used to determine why the square root of 73230 cannot be simplified.

1) To be able to simplify the square root of 73230, one of the factors of 73230 other than 1 must be a perfect square. The factors of 73230 are 1, 2, 3, 5, 6, 10, 15, 30, 2441, 4882, 7323, 12205, 14646, 24410, 36615, and 73230. Since none of these factors are perfect squares, the square root of 73230 cannot be simplified.

2) To be able to simplify the square root of 73230, all the prime factors of 73230 cannot be unique. When we did prime factorization of 73230, we found that 2 x 3 x 5 x 2441 equals 73230. Since all the prime factors are unique, the square root of 73230 cannot be simplified.

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