3–√ = 1.7321,3 = 1.7321,\sqrt 3 {\text{ = 1}}{\text{.7321,}} then the value of 192−1248−75," role="presentation">192−−−√−1248−−√−75−−√,192−1248−75,\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}} correct to 3 place of decimal, is = ?" /> 3–√ = 1.7321,3 = 1.7321,\sqrt 3 {\text{ = 1}}{\text{.7321,}} then the value of 192−1248−75," role="presentation">192−−−√−1248−−√−75−−√,192−1248−75,\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}} correct to 3 place of decimal, is = ?" /> 3–√ = 1.7321,3 = 1.7321,\sqrt 3 {\text{ = 1}}{\text{.7321,}} then the value of 192−1248−75," role="presentation">192−−−√−1248−−√−75−−√,192−1248−75,\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}} correct to 3 place of decimal, is = ?" />

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If $\sqrt{3} = 1 .7321,$ $\sqrt 3 {\text{ = 1}}{\text{.7321,}}$ then the value of $\sqrt{192} - \frac{1}{2} \sqrt{48} - \sqrt{75},$ $\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}}$ correct to 3 place of decimal, is = ?

18.661
24.331
31.732
4-1.732

Answer:- 1

Explanation:-

Solution:

\begin{aligned} According to question \\ \sqrt{192} - \frac{1}{2} \sqrt{48} - \sqrt{75} \\ \Rightarrow 8 \sqrt{3} - \frac{4}{2} \sqrt{3} - 5 \sqrt{3} \\ \Rightarrow 8 \sqrt{3} - 2 \sqrt{3} - 5 \sqrt{3} \\ \Rightarrow \sqrt{3} \\ \Rightarrow 1.732 \end{aligned}

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then the value of

\sqrt{192} - \frac{1}{2} \sqrt{48} - \sqrt{75},

$\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}}$ correct to 3 place of decimal, is = ?", "text": "If

\sqrt{3} =  1 .7321,

$\sqrt 3 {\text{ = 1}}{\text{.7321,}}$ then the value of

\sqrt{192} - \frac{1}{2} \sqrt{48} - \sqrt{75},

$\sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} {\text{,}}$ correct to 3 place of decimal, is = ?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} According to question \\ \sqrt{192} - \frac{1}{2} \sqrt{48} - \sqrt{75} \\ \Rightarrow 8 \sqrt{3} - \frac{4}{2} \sqrt{3} - 5 \sqrt{3} \\ \Rightarrow 8 \sqrt{3} - 2 \sqrt{3} - 5 \sqrt{3} \\ \Rightarrow \sqrt{3} \\ \Rightarrow 1.732 \end{aligned}

$\eqalign{ & {\text{According to question}} \cr & \sqrt {192} - \frac{1}{2}\sqrt {48} - \sqrt {75} \cr & \Rightarrow 8\sqrt 3 - \frac{4}{2}\sqrt 3 - 5\sqrt 3 \cr & \Rightarrow 8\sqrt 3 - 2\sqrt 3 - 5\sqrt 3 \cr & \Rightarrow \sqrt 3 \cr & \Rightarrow 1.732 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: