Simplify Square Root Of 34

Simplify Square Root

What is the square root of 34 in its simplest radical class? To exist more specific, we have created an illustration below showing what nosotros desire to summate. Our goal is to make "A" exterior the radical (√) as large as possible, and "B" within the radical (√) every bit small every bit possible.

√34 = A√B

Unfortunately, the square root of 34 cannot be simplified. Thus, here is the respond to the square root of 34 in its simplest class:

√ 34 = √ 34

Here are 2 unlike methods nosotros used to determine why the square root of 34 cannot be simplified.

i) To be able to simplify the square root of 34, one of the factors of 34 other than 1 must be a perfect square. The factors of 34 are 1, two, 17, and 34. Since none of these factors are perfect squares, the square root of 34 cannot exist simplified.

ii) To be able to simplify the foursquare root of 34, all the prime factors of 34 cannot be unique. When nosotros did prime factorization of 34, we constitute that 2 x 17 equals 34. Since all the prime factors are unique, the square root of 34 cannot exist simplified.

Simplify Square Root
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Simplify Foursquare Root of 35
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