Simplify Square Root of 2153

What is the square root of 2153 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.

√2153 = A√B

Unfortunately, the square root of 2153 cannot be simplified. Thus, here is the answer to the square root of 2153 in its simplest form:

√ 2153 = √ 2153

Here are two different methods we used to determine why the square root of 2153 cannot be simplified.

1) To be able to simplify the square root of 2153, one of the factors of 2153 other than 1 must be a perfect square. The factors of 2153 are 1 and 2153. Since none of these factors are perfect squares, the square root of 2153 cannot be simplified.

2) To be able to simplify the square root of 2153, all the prime factors of 2153 cannot be unique. When we did prime factorization of 2153, we found that 2153 equals 2153. Since all the prime factors are unique, the square root of 2153 cannot be simplified.

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