Simplify Square Root of 47323

What is the square root of 47323 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.

√47323 = A√B

Unfortunately, the square root of 47323 cannot be simplified. Thus, here is the answer to the square root of 47323 in its simplest form:

√ 47323 = √ 47323

Here are two different methods we used to determine why the square root of 47323 cannot be simplified.

1) To be able to simplify the square root of 47323, one of the factors of 47323 other than 1 must be a perfect square. The factors of 47323 are 1, 37, 1279, and 47323. Since none of these factors are perfect squares, the square root of 47323 cannot be simplified.

2) To be able to simplify the square root of 47323, all the prime factors of 47323 cannot be unique. When we did prime factorization of 47323, we found that 37 x 1279 equals 47323. Since all the prime factors are unique, the square root of 47323 cannot be simplified.

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