Simplify Square Root of 87798

What is the square root of 87798 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.

√87798 = A√B

Unfortunately, the square root of 87798 cannot be simplified. Thus, here is the answer to the square root of 87798 in its simplest form:

√ 87798 = √ 87798

Here are two different methods we used to determine why the square root of 87798 cannot be simplified.

1) To be able to simplify the square root of 87798, one of the factors of 87798 other than 1 must be a perfect square. The factors of 87798 are 1, 2, 3, 6, 14633, 29266, 43899, and 87798. Since none of these factors are perfect squares, the square root of 87798 cannot be simplified.

2) To be able to simplify the square root of 87798, all the prime factors of 87798 cannot be unique. When we did prime factorization of 87798, we found that 2 x 3 x 14633 equals 87798. Since all the prime factors are unique, the square root of 87798 cannot be simplified.

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