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

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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?

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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.



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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