Simplify Square Root of 40155

What is the square root of 40155 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.

√40155 = A√B

Unfortunately, the square root of 40155 cannot be simplified. Thus, here is the answer to the square root of 40155 in its simplest form:

√ 40155 = √ 40155

Here are two different methods we used to determine why the square root of 40155 cannot be simplified.

1) To be able to simplify the square root of 40155, one of the factors of 40155 other than 1 must be a perfect square. The factors of 40155 are 1, 3, 5, 15, 2677, 8031, 13385, and 40155. Since none of these factors are perfect squares, the square root of 40155 cannot be simplified.

2) To be able to simplify the square root of 40155, all the prime factors of 40155 cannot be unique. When we did prime factorization of 40155, we found that 3 x 5 x 2677 equals 40155. Since all the prime factors are unique, the square root of 40155 cannot be simplified.

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