turkey-yks 2012 Q4

turkey-yks · Other · lys1-math Indices and Surds Evaluating Expressions Using Index Laws
Given that $x = \sqrt [ 4 ] { 5 }$,
$$\left( x ^ { 2 } - 2 \right) ^ { - 1 }$$
which of the following is this expression equal to?
A) $1 + \sqrt [ 4 ] { 5 }$
B) $2 + \sqrt [ 4 ] { 5 }$
C) $1 + \sqrt { 5 }$
D) $2 + \sqrt { 5 }$
E) $1 + 2 \sqrt { 5 }$
Given that $x = \sqrt [ 4 ] { 5 }$,

$$\left( x ^ { 2 } - 2 \right) ^ { - 1 }$$

which of the following is this expression equal to?

A) $1 + \sqrt [ 4 ] { 5 }$\\
B) $2 + \sqrt [ 4 ] { 5 }$\\
C) $1 + \sqrt { 5 }$\\
D) $2 + \sqrt { 5 }$\\
E) $1 + 2 \sqrt { 5 }$