Simplify Square Root of 70287

What is the square root of 70287 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.

√70287 = A√B

Unfortunately, the square root of 70287 cannot be simplified. Thus, here is the answer to the square root of 70287 in its simplest form:

√ 70287 = √ 70287

Here are two different methods we used to determine why the square root of 70287 cannot be simplified.

1) To be able to simplify the square root of 70287, one of the factors of 70287 other than 1 must be a perfect square. The factors of 70287 are 1, 3, 7, 21, 3347, 10041, 23429, and 70287. Since none of these factors are perfect squares, the square root of 70287 cannot be simplified.

2) To be able to simplify the square root of 70287, all the prime factors of 70287 cannot be unique. When we did prime factorization of 70287, we found that 3 x 7 x 3347 equals 70287. Since all the prime factors are unique, the square root of 70287 cannot be simplified.

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