SOLUTION: expand and simplify (square root 2y +3) all square

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Question 260670: expand and simplify
(square root 2y +3) all square
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%282y%2B3%29%29%5E2

Since sqrt%282y%2B3%29 represents the (positive) expression you square to get 2y+3 and since we are squaring it, we should get 2y+3!

Expressions like sqrt%282y%2B3%29 is supposed to be a positive number so we must make sure that 2y+3 is positive. But since 2y+3 is in a square root to begin with we know that it must be a positive number.

To illustrate this issue, think about sqrt%28x%5E2%29. At first thought we might think this is equal to x. But x could be a negative number and sqrt%28x%5E2%29 should be a positive number! So sqrt%28x%5E2%29+=+abs%28x%29