Simplify Square Root of 26603

What is the square root of 26603 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.

√26603 = A√B

Unfortunately, the square root of 26603 cannot be simplified. Thus, here is the answer to the square root of 26603 in its simplest form:

√ 26603 = √ 26603

Here are two different methods we used to determine why the square root of 26603 cannot be simplified.

1) To be able to simplify the square root of 26603, one of the factors of 26603 other than 1 must be a perfect square. The factors of 26603 are 1, 37, 719, and 26603. Since none of these factors are perfect squares, the square root of 26603 cannot be simplified.

2) To be able to simplify the square root of 26603, all the prime factors of 26603 cannot be unique. When we did prime factorization of 26603, we found that 37 x 719 equals 26603. Since all the prime factors are unique, the square root of 26603 cannot be simplified.

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