SOLUTION: Find the following. Assume that variables can represent any real numbers. sqrt ( a+4 )^2 The a+4 should be in parenthesis with an exponent of 2 in a radical sign. I hope I

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the following. Assume that variables can represent any real numbers. sqrt ( a+4 )^2 The a+4 should be in parenthesis with an exponent of 2 in a radical sign. I hope I       Log On

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 Question 133112: Find the following. Assume that variables can represent any real numbers. sqrt ( a+4 )^2 The a+4 should be in parenthesis with an exponent of 2 in a radical sign. I hope I explained that correctly.Found 2 solutions by nycsharkman, jim_thompson5910:Answer by nycsharkman(136)   (Show Source): You can put this solution on YOUR website!Are you trying to simplify this radical? I will assume that you are trying to simplify it. sqrt{(a + 4)^2} The inside of the radical becomes a^2 + 8a + 16 after applying the FOIL method. We now house every term SEPARATELY in a radical and simplify. sqrt{a^2} = a sqrt{8a} = 2(sqrt{2a}) sqrt{16} = 4 We now have this: a times 2 times 4 times sqrt{2a} = 8a(sqrt{2a}) Did you follow? Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website!If you have something like , how do you solve this? Well you simply take the square root of both sides like this Notice how simplifies to . What's happening is the square root is undoing the square exponent. --------------------- So the same thing is happening with . If you can't see it, then let to get so this simplifies to where x is positive Now plug into x to get So this means that simplifies to . In other words, where