Simplify Square Root of 5435

What is the square root of 5435 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.

√5435 = A√B

Unfortunately, the square root of 5435 cannot be simplified. Thus, here is the answer to the square root of 5435 in its simplest form:

√ 5435 = √ 5435

Here are two different methods we used to determine why the square root of 5435 cannot be simplified.

1) To be able to simplify the square root of 5435, one of the factors of 5435 other than 1 must be a perfect square. The factors of 5435 are 1, 5, 1087, and 5435. Since none of these factors are perfect squares, the square root of 5435 cannot be simplified.

2) To be able to simplify the square root of 5435, all the prime factors of 5435 cannot be unique. When we did prime factorization of 5435, we found that 5 x 1087 equals 5435. Since all the prime factors are unique, the square root of 5435 cannot be simplified.

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