Simplify Square Root of 45667

What is the square root of 45667 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.

√45667 = A√B

Unfortunately, the square root of 45667 cannot be simplified. Thus, here is the answer to the square root of 45667 in its simplest form:

√ 45667 = √ 45667

Here are two different methods we used to determine why the square root of 45667 cannot be simplified.

1) To be able to simplify the square root of 45667, one of the factors of 45667 other than 1 must be a perfect square. The factors of 45667 are 1 and 45667. Since none of these factors are perfect squares, the square root of 45667 cannot be simplified.

2) To be able to simplify the square root of 45667, all the prime factors of 45667 cannot be unique. When we did prime factorization of 45667, we found that 45667 equals 45667. Since all the prime factors are unique, the square root of 45667 cannot be simplified.

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