Simplify Square Root of 78623

What is the square root of 78623 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.

√78623 = A√B

Unfortunately, the square root of 78623 cannot be simplified. Thus, here is the answer to the square root of 78623 in its simplest form:

√ 78623 = √ 78623

Here are two different methods we used to determine why the square root of 78623 cannot be simplified.

1) To be able to simplify the square root of 78623, one of the factors of 78623 other than 1 must be a perfect square. The factors of 78623 are 1 and 78623. Since none of these factors are perfect squares, the square root of 78623 cannot be simplified.

2) To be able to simplify the square root of 78623, all the prime factors of 78623 cannot be unique. When we did prime factorization of 78623, we found that 78623 equals 78623. Since all the prime factors are unique, the square root of 78623 cannot be simplified.

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