- #1

TheGreatEscapegoat

- 14

- 0

I have the expression $$ \frac{1}{2}(1+ \sqrt{5}) $$. Now, I substitute for x into the expression $$ \sqrt{x+1}. $$ to make $$ \sqrt{\frac{1}{2}(1+ \sqrt{5})+1}. $$

The result should be $$\frac{1}{2}( \sqrt{5}+1)$$.

However, when I simplify it, I obtain $$ \sqrt{\frac{1}{2}( \sqrt{5}+3)} $$ and for some reason I am not seeing how to simplify that into $$ \frac{1}{2}( \sqrt{5}+1). $$