Simplify Square Root of 76085

What is the square root of 76085 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.

√76085 = A√B

Unfortunately, the square root of 76085 cannot be simplified. Thus, here is the answer to the square root of 76085 in its simplest form:

√ 76085 = √ 76085

Here are two different methods we used to determine why the square root of 76085 cannot be simplified.

1) To be able to simplify the square root of 76085, one of the factors of 76085 other than 1 must be a perfect square. The factors of 76085 are 1, 5, 15217, and 76085. Since none of these factors are perfect squares, the square root of 76085 cannot be simplified.

2) To be able to simplify the square root of 76085, all the prime factors of 76085 cannot be unique. When we did prime factorization of 76085, we found that 5 x 15217 equals 76085. Since all the prime factors are unique, the square root of 76085 cannot be simplified.

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