Simplify Square Root of 48003

What is the square root of 48003 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.

√48003 = A√B

Unfortunately, the square root of 48003 cannot be simplified. Thus, here is the answer to the square root of 48003 in its simplest form:

√ 48003 = √ 48003

Here are two different methods we used to determine why the square root of 48003 cannot be simplified.

1) To be able to simplify the square root of 48003, one of the factors of 48003 other than 1 must be a perfect square. The factors of 48003 are 1, 3, 16001, and 48003. Since none of these factors are perfect squares, the square root of 48003 cannot be simplified.

2) To be able to simplify the square root of 48003, all the prime factors of 48003 cannot be unique. When we did prime factorization of 48003, we found that 3 x 16001 equals 48003. Since all the prime factors are unique, the square root of 48003 cannot be simplified.

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