turkey-yks 2016 Q6

turkey-yks · Other · ygs Indices and Surds Ordering and Comparing Surd or Numerical Values

$$\begin{aligned} & a = \sqrt { 2 } + \sqrt { 45 } \\ & b = \sqrt { 5 } + \sqrt { 18 } \\ & c = \sqrt { 8 } + \sqrt { 20 } \end{aligned}$$
Given this, which of the following orderings is correct?
A) a $<$ b $<$ c
B) b $<$ a $<$ c
C) c $<$ b $<$ a
D) b $<$ c $<$ a
E) c $<$ a $<$ b

$$\begin{aligned}
& a = \sqrt { 2 } + \sqrt { 45 } \\
& b = \sqrt { 5 } + \sqrt { 18 } \\
& c = \sqrt { 8 } + \sqrt { 20 }
\end{aligned}$$

Given this, which of the following orderings is correct?\\
A) a $<$ b $<$ c\\
B) b $<$ a $<$ c\\
C) c $<$ b $<$ a\\
D) b $<$ c $<$ a\\
E) c $<$ a $<$ b

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