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Evaluate: $$16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} $$ if $$\sqrt {12} $$ = 3.46
Answer & Solution
Correct Answer:
Option
A
$$\eqalign{
& 16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} \cr
& \Rightarrow 16\sqrt {\frac{{3 \times 4}}{{4 \times 4}}} - 9\sqrt {\frac{{3 \times 4}}{{3 \times 3}}} \cr
& \Rightarrow 16 \times \frac{{\sqrt {12} }}{4} - \frac{{9\sqrt {12} }}{3} \cr
& \Rightarrow 4\sqrt {12} - 3\sqrt {12} \cr
& \Rightarrow \sqrt {12} \cr
& \Rightarrow 3.46 \cr} $$
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