Simplify Square Root of 1351

What is the square root of 1351 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.

√1351 = A√B

Unfortunately, the square root of 1351 cannot be simplified. Thus, here is the answer to the square root of 1351 in its simplest form:

√ 1351 = √ 1351

Here are two different methods we used to determine why the square root of 1351 cannot be simplified.

1) To be able to simplify the square root of 1351, one of the factors of 1351 other than 1 must be a perfect square. The factors of 1351 are 1, 7, 193, and 1351. Since none of these factors are perfect squares, the square root of 1351 cannot be simplified.

2) To be able to simplify the square root of 1351, all the prime factors of 1351 cannot be unique. When we did prime factorization of 1351, we found that 7 x 193 equals 1351. Since all the prime factors are unique, the square root of 1351 cannot be simplified.

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