Simplify Square Root of 53479

What is the square root of 53479 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.

√53479 = A√B

Unfortunately, the square root of 53479 cannot be simplified. Thus, here is the answer to the square root of 53479 in its simplest form:

√ 53479 = √ 53479

Here are two different methods we used to determine why the square root of 53479 cannot be simplified.

1) To be able to simplify the square root of 53479, one of the factors of 53479 other than 1 must be a perfect square. The factors of 53479 are 1 and 53479. Since none of these factors are perfect squares, the square root of 53479 cannot be simplified.

2) To be able to simplify the square root of 53479, all the prime factors of 53479 cannot be unique. When we did prime factorization of 53479, we found that 53479 equals 53479. Since all the prime factors are unique, the square root of 53479 cannot be simplified.

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