Simplify Square Root of 79669

What is the square root of 79669 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.

√79669 = A√B

Unfortunately, the square root of 79669 cannot be simplified. Thus, here is the answer to the square root of 79669 in its simplest form:

√ 79669 = √ 79669

Here are two different methods we used to determine why the square root of 79669 cannot be simplified.

1) To be able to simplify the square root of 79669, one of the factors of 79669 other than 1 must be a perfect square. The factors of 79669 are 1 and 79669. Since none of these factors are perfect squares, the square root of 79669 cannot be simplified.

2) To be able to simplify the square root of 79669, all the prime factors of 79669 cannot be unique. When we did prime factorization of 79669, we found that 79669 equals 79669. Since all the prime factors are unique, the square root of 79669 cannot be simplified.

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