Simplify Square Root of 30553

What is the square root of 30553 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.

√30553 = A√B

Unfortunately, the square root of 30553 cannot be simplified. Thus, here is the answer to the square root of 30553 in its simplest form:

√ 30553 = √ 30553

Here are two different methods we used to determine why the square root of 30553 cannot be simplified.

1) To be able to simplify the square root of 30553, one of the factors of 30553 other than 1 must be a perfect square. The factors of 30553 are 1 and 30553. Since none of these factors are perfect squares, the square root of 30553 cannot be simplified.

2) To be able to simplify the square root of 30553, all the prime factors of 30553 cannot be unique. When we did prime factorization of 30553, we found that 30553 equals 30553. Since all the prime factors are unique, the square root of 30553 cannot be simplified.

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