Simplify Square Root of 95438

What is the square root of 95438 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.

√95438 = A√B

Unfortunately, the square root of 95438 cannot be simplified. Thus, here is the answer to the square root of 95438 in its simplest form:

√ 95438 = √ 95438

Here are two different methods we used to determine why the square root of 95438 cannot be simplified.

1) To be able to simplify the square root of 95438, one of the factors of 95438 other than 1 must be a perfect square. The factors of 95438 are 1, 2, 7, 14, 17, 34, 119, 238, 401, 802, 2807, 5614, 6817, 13634, 47719, and 95438. Since none of these factors are perfect squares, the square root of 95438 cannot be simplified.

2) To be able to simplify the square root of 95438, all the prime factors of 95438 cannot be unique. When we did prime factorization of 95438, we found that 2 x 7 x 17 x 401 equals 95438. Since all the prime factors are unique, the square root of 95438 cannot be simplified.

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