Simplify Square Root of 14937

What is the square root of 14937 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.

√14937 = A√B

Unfortunately, the square root of 14937 cannot be simplified. Thus, here is the answer to the square root of 14937 in its simplest form:

√ 14937 = √ 14937

Here are two different methods we used to determine why the square root of 14937 cannot be simplified.

1) To be able to simplify the square root of 14937, one of the factors of 14937 other than 1 must be a perfect square. The factors of 14937 are 1, 3, 13, 39, 383, 1149, 4979, and 14937. Since none of these factors are perfect squares, the square root of 14937 cannot be simplified.

2) To be able to simplify the square root of 14937, all the prime factors of 14937 cannot be unique. When we did prime factorization of 14937, we found that 3 x 13 x 383 equals 14937. Since all the prime factors are unique, the square root of 14937 cannot be simplified.

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