Simplify Square Root of 76610

What is the square root of 76610 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.

√76610 = A√B

Unfortunately, the square root of 76610 cannot be simplified. Thus, here is the answer to the square root of 76610 in its simplest form:

√ 76610 = √ 76610

Here are two different methods we used to determine why the square root of 76610 cannot be simplified.

1) To be able to simplify the square root of 76610, one of the factors of 76610 other than 1 must be a perfect square. The factors of 76610 are 1, 2, 5, 10, 47, 94, 163, 235, 326, 470, 815, 1630, 7661, 15322, 38305, and 76610. Since none of these factors are perfect squares, the square root of 76610 cannot be simplified.

2) To be able to simplify the square root of 76610, all the prime factors of 76610 cannot be unique. When we did prime factorization of 76610, we found that 2 x 5 x 47 x 163 equals 76610. Since all the prime factors are unique, the square root of 76610 cannot be simplified.

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