Simplify Square Root of 7121

What is the square root of 7121 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.

√7121 = A√B

Unfortunately, the square root of 7121 cannot be simplified. Thus, here is the answer to the square root of 7121 in its simplest form:

√ 7121 = √ 7121

Here are two different methods we used to determine why the square root of 7121 cannot be simplified.

1) To be able to simplify the square root of 7121, one of the factors of 7121 other than 1 must be a perfect square. The factors of 7121 are 1 and 7121. Since none of these factors are perfect squares, the square root of 7121 cannot be simplified.

2) To be able to simplify the square root of 7121, all the prime factors of 7121 cannot be unique. When we did prime factorization of 7121, we found that 7121 equals 7121. Since all the prime factors are unique, the square root of 7121 cannot be simplified.

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