Simplify Square Root of 74623

What is the square root of 74623 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.

√74623 = A√B

Unfortunately, the square root of 74623 cannot be simplified. Thus, here is the answer to the square root of 74623 in its simplest form:

√ 74623 = √ 74623

Here are two different methods we used to determine why the square root of 74623 cannot be simplified.

1) To be able to simplify the square root of 74623, one of the factors of 74623 other than 1 must be a perfect square. The factors of 74623 are 1 and 74623. Since none of these factors are perfect squares, the square root of 74623 cannot be simplified.

2) To be able to simplify the square root of 74623, all the prime factors of 74623 cannot be unique. When we did prime factorization of 74623, we found that 74623 equals 74623. Since all the prime factors are unique, the square root of 74623 cannot be simplified.

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