Simplify Square Root of 73798

What is the square root of 73798 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.

√73798 = A√B

Unfortunately, the square root of 73798 cannot be simplified. Thus, here is the answer to the square root of 73798 in its simplest form:

√ 73798 = √ 73798

Here are two different methods we used to determine why the square root of 73798 cannot be simplified.

1) To be able to simplify the square root of 73798, one of the factors of 73798 other than 1 must be a perfect square. The factors of 73798 are 1, 2, 36899, and 73798. Since none of these factors are perfect squares, the square root of 73798 cannot be simplified.

2) To be able to simplify the square root of 73798, all the prime factors of 73798 cannot be unique. When we did prime factorization of 73798, we found that 2 x 36899 equals 73798. Since all the prime factors are unique, the square root of 73798 cannot be simplified.

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