Simplify Square Root of 79673

What is the square root of 79673 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.

√79673 = A√B

Unfortunately, the square root of 79673 cannot be simplified. Thus, here is the answer to the square root of 79673 in its simplest form:

√ 79673 = √ 79673

Here are two different methods we used to determine why the square root of 79673 cannot be simplified.

1) To be able to simplify the square root of 79673, one of the factors of 79673 other than 1 must be a perfect square. The factors of 79673 are 1, 11, 7243, and 79673. Since none of these factors are perfect squares, the square root of 79673 cannot be simplified.

2) To be able to simplify the square root of 79673, all the prime factors of 79673 cannot be unique. When we did prime factorization of 79673, we found that 11 x 7243 equals 79673. Since all the prime factors are unique, the square root of 79673 cannot be simplified.

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