Simplify Square Root of 36930

What is the square root of 36930 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.

√36930 = A√B

Unfortunately, the square root of 36930 cannot be simplified. Thus, here is the answer to the square root of 36930 in its simplest form:

√ 36930 = √ 36930

Here are two different methods we used to determine why the square root of 36930 cannot be simplified.

1) To be able to simplify the square root of 36930, one of the factors of 36930 other than 1 must be a perfect square. The factors of 36930 are 1, 2, 3, 5, 6, 10, 15, 30, 1231, 2462, 3693, 6155, 7386, 12310, 18465, and 36930. Since none of these factors are perfect squares, the square root of 36930 cannot be simplified.

2) To be able to simplify the square root of 36930, all the prime factors of 36930 cannot be unique. When we did prime factorization of 36930, we found that 2 x 3 x 5 x 1231 equals 36930. Since all the prime factors are unique, the square root of 36930 cannot be simplified.

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