Simplify Square Root of 5533

What is the square root of 5533 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.

√5533 = A√B

Unfortunately, the square root of 5533 cannot be simplified. Thus, here is the answer to the square root of 5533 in its simplest form:

√ 5533 = √ 5533

Here are two different methods we used to determine why the square root of 5533 cannot be simplified.

1) To be able to simplify the square root of 5533, one of the factors of 5533 other than 1 must be a perfect square. The factors of 5533 are 1, 11, 503, and 5533. Since none of these factors are perfect squares, the square root of 5533 cannot be simplified.

2) To be able to simplify the square root of 5533, all the prime factors of 5533 cannot be unique. When we did prime factorization of 5533, we found that 11 x 503 equals 5533. Since all the prime factors are unique, the square root of 5533 cannot be simplified.

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