Simplify Square Root of 2458

What is the square root of 2458 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.

√2458 = A√B

Unfortunately, the square root of 2458 cannot be simplified. Thus, here is the answer to the square root of 2458 in its simplest form:

√ 2458 = √ 2458

Here are two different methods we used to determine why the square root of 2458 cannot be simplified.

1) To be able to simplify the square root of 2458, one of the factors of 2458 other than 1 must be a perfect square. The factors of 2458 are 1, 2, 1229, and 2458. Since none of these factors are perfect squares, the square root of 2458 cannot be simplified.

2) To be able to simplify the square root of 2458, all the prime factors of 2458 cannot be unique. When we did prime factorization of 2458, we found that 2 x 1229 equals 2458. Since all the prime factors are unique, the square root of 2458 cannot be simplified.

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