Question
Find the simplest value of $${\text{2}}\sqrt {50} $$ + $$\sqrt {18} $$ - $$\sqrt {72} $$ = ?(given $$\sqrt 2 $$ = 1.414)
Answer: Option B
$$\eqalign{
& {\text{2}}\sqrt {50} {\text{ + }}\sqrt {18} - \sqrt {72} \cr
& \Rightarrow {\text{2}} \times {\text{5}}\sqrt 2 {\text{ + 3}}\sqrt 2 - 6\sqrt 2 \cr
& \Rightarrow 13\sqrt 2 - 6\sqrt 2 \cr
& \Rightarrow 7\sqrt 2 \cr
& \Rightarrow 7 \times 1.414 \cr
& \Rightarrow 9.898 \cr} $$
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$$\eqalign{
& {\text{2}}\sqrt {50} {\text{ + }}\sqrt {18} - \sqrt {72} \cr
& \Rightarrow {\text{2}} \times {\text{5}}\sqrt 2 {\text{ + 3}}\sqrt 2 - 6\sqrt 2 \cr
& \Rightarrow 13\sqrt 2 - 6\sqrt 2 \cr
& \Rightarrow 7\sqrt 2 \cr
& \Rightarrow 7 \times 1.414 \cr
& \Rightarrow 9.898 \cr} $$
Was this answer helpful ?
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