Simplify Square Root of 77023

What is the square root of 77023 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.

√77023 = A√B

Unfortunately, the square root of 77023 cannot be simplified. Thus, here is the answer to the square root of 77023 in its simplest form:

√ 77023 = √ 77023

Here are two different methods we used to determine why the square root of 77023 cannot be simplified.

1) To be able to simplify the square root of 77023, one of the factors of 77023 other than 1 must be a perfect square. The factors of 77023 are 1 and 77023. Since none of these factors are perfect squares, the square root of 77023 cannot be simplified.

2) To be able to simplify the square root of 77023, all the prime factors of 77023 cannot be unique. When we did prime factorization of 77023, we found that 77023 equals 77023. Since all the prime factors are unique, the square root of 77023 cannot be simplified.

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