Simplify Square Root of 13577

What is the square root of 13577 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.

√13577 = A√B

Unfortunately, the square root of 13577 cannot be simplified. Thus, here is the answer to the square root of 13577 in its simplest form:

√ 13577 = √ 13577

Here are two different methods we used to determine why the square root of 13577 cannot be simplified.

1) To be able to simplify the square root of 13577, one of the factors of 13577 other than 1 must be a perfect square. The factors of 13577 are 1 and 13577. Since none of these factors are perfect squares, the square root of 13577 cannot be simplified.

2) To be able to simplify the square root of 13577, all the prime factors of 13577 cannot be unique. When we did prime factorization of 13577, we found that 13577 equals 13577. Since all the prime factors are unique, the square root of 13577 cannot be simplified.

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