Simplify Square Root of 70097

What is the square root of 70097 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.

√70097 = A√B

Unfortunately, the square root of 70097 cannot be simplified. Thus, here is the answer to the square root of 70097 in its simplest form:

√ 70097 = √ 70097

Here are two different methods we used to determine why the square root of 70097 cannot be simplified.

1) To be able to simplify the square root of 70097, one of the factors of 70097 other than 1 must be a perfect square. The factors of 70097 are 1, 191, 367, and 70097. Since none of these factors are perfect squares, the square root of 70097 cannot be simplified.

2) To be able to simplify the square root of 70097, all the prime factors of 70097 cannot be unique. When we did prime factorization of 70097, we found that 191 x 367 equals 70097. Since all the prime factors are unique, the square root of 70097 cannot be simplified.

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