The discussion revolves around simplifying the expression \(\frac {\sqrt{2x+3}+1}4\) and understanding the rationalization process involved. Participants are examining the steps taken to reach a simplified form and the discrepancies noted in the expected results.
The discussion has seen participants confirming each other's calculations, but there remains uncertainty regarding the interpretation of the denominator. While some participants suggest that no further discussion is needed, the exact reasoning behind the expected result is still questioned.
There is mention of potential miscommunication regarding the formatting of the denominator in the expected answer, which may affect the interpretation of the simplification process.
Yes, you are correct.r0bHadz said:Homework Statement
\frac {\sqrt{2x+3}+1}4
Homework Equations
The Attempt at a Solution
\frac {\sqrt{2x+3}+1}4 * \frac {\sqrt{2x+3}-1}{\sqrt{2x+3}-1} = \frac {2x+3-1}{4\sqrt{2x+3}-4} = \frac {2x+2}{4\sqrt{2x+3}-4} = \frac {2(x+1)}{2(2\sqrt{2x+3}-2)} = \frac {x+1}{2\sqrt{2x+3} -2}
but doc. Lang is telling me the answer is \frac {x+1}{2(\sqrt{2x+3}-2)}
How did he come to this result??
SammyS said:Yes, you are correct.
... or he intended the denominator to be: ##\ 2(\sqrt{2x+3\,} -1)\,. ##r0bHadz said:Thank you no more discussion is needed. I'm going to assume Lang didn't intend for there to be "(" after the first two in the denominator
True that.SammyS said:... or he intended the denominator to be: ##\ 2(\sqrt{2x+3\,} -1)\,. ##