Question 295835
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Well, let's see how correct your answer is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\sqrt{(\frac{35}{3})\ +\ 1}\ =^?\ 6]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\sqrt{\frac{38}{3}}\ =^?\ 6]


And after rationalizing the denominator,


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{114}\ \neq\ 6]


Ok, so back to the drawing board.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\sqrt{w\ +\ 1}\ =\ 6]


Square both sides


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 9(w\ +\ 1)\ =\ 36]


Multiply both sides by *[tex \Large \frac{1}{9}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ w\ +\ 1\ =\ 4]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ w\ =\ 3]


Check:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\sqrt{(3)\ +\ 1}\ =^?\ 6]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\sqrt{4}\ =^?\ 6]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\ \cdot\ 2\ =\ 6]


Checks.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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