Simplify Square Root of 14590

What is the square root of 14590 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.

√14590 = A√B

Unfortunately, the square root of 14590 cannot be simplified. Thus, here is the answer to the square root of 14590 in its simplest form:

√ 14590 = √ 14590

Here are two different methods we used to determine why the square root of 14590 cannot be simplified.

1) To be able to simplify the square root of 14590, one of the factors of 14590 other than 1 must be a perfect square. The factors of 14590 are 1, 2, 5, 10, 1459, 2918, 7295, and 14590. Since none of these factors are perfect squares, the square root of 14590 cannot be simplified.

2) To be able to simplify the square root of 14590, all the prime factors of 14590 cannot be unique. When we did prime factorization of 14590, we found that 2 x 5 x 1459 equals 14590. Since all the prime factors are unique, the square root of 14590 cannot be simplified.

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