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If $$\sqrt 3 {\text{ = 1}}{\text{.7321,}}$$ then the value of $$\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}}$$ correct to 3 place of decimal, is = ?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\text{According to question,}} \cr
& \sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} \cr
& \Rightarrow 8\sqrt 3 - \frac{4}{2}\sqrt 3 - 5\sqrt 3 \cr
& \Rightarrow 8\sqrt 3 - 2\sqrt 3 - 5\sqrt 3 \cr
& \Rightarrow \sqrt 3 \cr
& \Rightarrow 1.732 \cr} $$
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