Simplify Square Root of 35095

What is the square root of 35095 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.

√35095 = A√B

Unfortunately, the square root of 35095 cannot be simplified. Thus, here is the answer to the square root of 35095 in its simplest form:

√ 35095 = √ 35095

Here are two different methods we used to determine why the square root of 35095 cannot be simplified.

1) To be able to simplify the square root of 35095, one of the factors of 35095 other than 1 must be a perfect square. The factors of 35095 are 1, 5, 7019, and 35095. Since none of these factors are perfect squares, the square root of 35095 cannot be simplified.

2) To be able to simplify the square root of 35095, all the prime factors of 35095 cannot be unique. When we did prime factorization of 35095, we found that 5 x 7019 equals 35095. Since all the prime factors are unique, the square root of 35095 cannot be simplified.

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