Simplify Square Root of 42910

What is the square root of 42910 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.

√42910 = A√B

Unfortunately, the square root of 42910 cannot be simplified. Thus, here is the answer to the square root of 42910 in its simplest form:

√ 42910 = √ 42910

Here are two different methods we used to determine why the square root of 42910 cannot be simplified.

1) To be able to simplify the square root of 42910, one of the factors of 42910 other than 1 must be a perfect square. The factors of 42910 are 1, 2, 5, 7, 10, 14, 35, 70, 613, 1226, 3065, 4291, 6130, 8582, 21455, and 42910. Since none of these factors are perfect squares, the square root of 42910 cannot be simplified.

2) To be able to simplify the square root of 42910, all the prime factors of 42910 cannot be unique. When we did prime factorization of 42910, we found that 2 x 5 x 7 x 613 equals 42910. Since all the prime factors are unique, the square root of 42910 cannot be simplified.

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