turkey-yks 2014 Q10

turkey-yks · Other · ygs Indices and Surds Solving Equations Involving Surds
Given that $x \neq - 1$ and
$$( x + 1 ) \sqrt { x - 1 } = \sqrt { 2 x + 2 }$$
What is $x$?
A) $\frac { 3 \sqrt { 3 } } { 2 }$
B) $\frac { 2 \sqrt { 3 } } { 3 }$
C) $\frac { 4 \sqrt { 2 } } { 3 }$
D) $\sqrt { 2 }$
E) $\sqrt { 3 }$
Given that $x \neq - 1$ and

$$( x + 1 ) \sqrt { x - 1 } = \sqrt { 2 x + 2 }$$

What is $x$?\\
A) $\frac { 3 \sqrt { 3 } } { 2 }$\\
B) $\frac { 2 \sqrt { 3 } } { 3 }$\\
C) $\frac { 4 \sqrt { 2 } } { 3 }$\\
D) $\sqrt { 2 }$\\
E) $\sqrt { 3 }$