Simplify Square Root of 70985

What is the square root of 70985 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.

√70985 = A√B

Unfortunately, the square root of 70985 cannot be simplified. Thus, here is the answer to the square root of 70985 in its simplest form:

√ 70985 = √ 70985

Here are two different methods we used to determine why the square root of 70985 cannot be simplified.

1) To be able to simplify the square root of 70985, one of the factors of 70985 other than 1 must be a perfect square. The factors of 70985 are 1, 5, 14197, and 70985. Since none of these factors are perfect squares, the square root of 70985 cannot be simplified.

2) To be able to simplify the square root of 70985, all the prime factors of 70985 cannot be unique. When we did prime factorization of 70985, we found that 5 x 14197 equals 70985. Since all the prime factors are unique, the square root of 70985 cannot be simplified.

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