Simplify Square Root of 73445

What is the square root of 73445 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.

√73445 = A√B

Unfortunately, the square root of 73445 cannot be simplified. Thus, here is the answer to the square root of 73445 in its simplest form:

√ 73445 = √ 73445

Here are two different methods we used to determine why the square root of 73445 cannot be simplified.

1) To be able to simplify the square root of 73445, one of the factors of 73445 other than 1 must be a perfect square. The factors of 73445 are 1, 5, 37, 185, 397, 1985, 14689, and 73445. Since none of these factors are perfect squares, the square root of 73445 cannot be simplified.

2) To be able to simplify the square root of 73445, all the prime factors of 73445 cannot be unique. When we did prime factorization of 73445, we found that 5 x 37 x 397 equals 73445. Since all the prime factors are unique, the square root of 73445 cannot be simplified.

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