Simplify Square Root of 95969

What is the square root of 95969 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.

√95969 = A√B

Unfortunately, the square root of 95969 cannot be simplified. Thus, here is the answer to the square root of 95969 in its simplest form:

√ 95969 = √ 95969

Here are two different methods we used to determine why the square root of 95969 cannot be simplified.

1) To be able to simplify the square root of 95969, one of the factors of 95969 other than 1 must be a perfect square. The factors of 95969 are 1, 19, 5051, and 95969. Since none of these factors are perfect squares, the square root of 95969 cannot be simplified.

2) To be able to simplify the square root of 95969, all the prime factors of 95969 cannot be unique. When we did prime factorization of 95969, we found that 19 x 5051 equals 95969. Since all the prime factors are unique, the square root of 95969 cannot be simplified.

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