Simplify Square Root of 45403

What is the square root of 45403 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.

√45403 = A√B

Unfortunately, the square root of 45403 cannot be simplified. Thus, here is the answer to the square root of 45403 in its simplest form:

√ 45403 = √ 45403

Here are two different methods we used to determine why the square root of 45403 cannot be simplified.

1) To be able to simplify the square root of 45403, one of the factors of 45403 other than 1 must be a perfect square. The factors of 45403 are 1 and 45403. Since none of these factors are perfect squares, the square root of 45403 cannot be simplified.

2) To be able to simplify the square root of 45403, all the prime factors of 45403 cannot be unique. When we did prime factorization of 45403, we found that 45403 equals 45403. Since all the prime factors are unique, the square root of 45403 cannot be simplified.

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