Simplify Square Root of 66653

What is the square root of 66653 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.

√66653 = A√B

Unfortunately, the square root of 66653 cannot be simplified. Thus, here is the answer to the square root of 66653 in its simplest form:

√ 66653 = √ 66653

Here are two different methods we used to determine why the square root of 66653 cannot be simplified.

1) To be able to simplify the square root of 66653, one of the factors of 66653 other than 1 must be a perfect square. The factors of 66653 are 1 and 66653. Since none of these factors are perfect squares, the square root of 66653 cannot be simplified.

2) To be able to simplify the square root of 66653, all the prime factors of 66653 cannot be unique. When we did prime factorization of 66653, we found that 66653 equals 66653. Since all the prime factors are unique, the square root of 66653 cannot be simplified.

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