Simplify Square Root of 7201

What is the square root of 7201 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.

√7201 = A√B

Unfortunately, the square root of 7201 cannot be simplified. Thus, here is the answer to the square root of 7201 in its simplest form:

√ 7201 = √ 7201

Here are two different methods we used to determine why the square root of 7201 cannot be simplified.

1) To be able to simplify the square root of 7201, one of the factors of 7201 other than 1 must be a perfect square. The factors of 7201 are 1, 19, 379, and 7201. Since none of these factors are perfect squares, the square root of 7201 cannot be simplified.

2) To be able to simplify the square root of 7201, all the prime factors of 7201 cannot be unique. When we did prime factorization of 7201, we found that 19 x 379 equals 7201. Since all the prime factors are unique, the square root of 7201 cannot be simplified.

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