Simplify Square Root of 79486

What is the square root of 79486 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.

√79486 = A√B

Unfortunately, the square root of 79486 cannot be simplified. Thus, here is the answer to the square root of 79486 in its simplest form:

√ 79486 = √ 79486

Here are two different methods we used to determine why the square root of 79486 cannot be simplified.

1) To be able to simplify the square root of 79486, one of the factors of 79486 other than 1 must be a perfect square. The factors of 79486 are 1, 2, 11, 22, 3613, 7226, 39743, and 79486. Since none of these factors are perfect squares, the square root of 79486 cannot be simplified.

2) To be able to simplify the square root of 79486, all the prime factors of 79486 cannot be unique. When we did prime factorization of 79486, we found that 2 x 11 x 3613 equals 79486. Since all the prime factors are unique, the square root of 79486 cannot be simplified.

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