In Exercises 33–46, simplify each expression._____√(x−1)²

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Hey, everyone in this video, we're gonna be working through the following problem for the given expression simplify the expression we given is the square root of X minus 96 squared. We have four answer choices. Option A X minus 96. Option B, the absolute value of X minus 96 option C 96 minus X and option D negative 96 minus X. We're gonna start by writing what we were given. So we have the square root of X minus 96 squared. OK. That squared is applied to the X minus 96. It's underneath the square root. And recall we have a rule that states that if we have the nth route of A to the exponent N, then we can write this as the absolute value of A if N is even. Well, we have the square root and we have something squared. So in our case, N is equal to two. So the A value is X minus 96. Hey, we're taking the square root of something squared. We can write this as the absolute value of X minus 96. And that's our simplified expression. And we found that the square root of X minus 96 squared is equal to the absolute value of X minus 96 which corresponds with answer choice B thanks everyone for watching. I hope this video helped see you in the next one.

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In Exercises 33–46, simplify each expression._____√(x−1)²

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