Respuesta :

It’s the third choice
-1 +/- 2sqrt10

The simplified value of the given [(- 2 ± 2√40)/2] is  (- 1 ± 2√10) as per the rules of surd.

What is a surd?

"In mathematics, a surd number is the irrational root of an integer. The n-th root of a number x is a number r which, when raised to the power n, yields x."

Therefore, [tex]\sqrt[n]{x} = r[/tex]

⇒ x = rⁿ

Given, [(- 2 ± 2√40)/2]

= [(- 2 ± 2 √(4 × 10)/2]

= [(- 2 ± 2 × 2√10)/2]

= [(- 2 ± 4√10)/2]

= (- 1 ± 2√10)

Learn more about surd here: https://brainly.com/question/12724085

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