24−−√+216−−−√96−−√=?24+21696=?\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?" /> 24−−√+216−−−√96−−√=?24+21696=?\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?" /> 24−−√+216−−−√96−−√=?24+21696=?\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?" />

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What is the value of $\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}} = ?$ $\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?$

12√6
24√6
32
44

Answer:- 1

Explanation:-

Solution:

\begin{aligned} According to question \\ \frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}} \\ = \frac{\sqrt{2 \times 2 \times 6} + \sqrt{6 \times 6 \times 6}}{\sqrt{4 \times 4 \times 6}} \\ = \frac{2 \sqrt{6} + 6 \sqrt{6}}{4 \sqrt{6}} \\ = \frac{8}{4} \\ = 2 \end{aligned}

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", "text": "What is the value of

\frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}} = ?

$\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} = ?$ ", "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 \\ \frac{\sqrt{24} + \sqrt{216}}{\sqrt{96}} \\ = \frac{\sqrt{2 \times 2 \times 6} + \sqrt{6 \times 6 \times 6}}{\sqrt{4 \times 4 \times 6}} \\ = \frac{2 \sqrt{6} + 6 \sqrt{6}}{4 \sqrt{6}} \\ = \frac{8}{4} \\ = 2 \end{aligned}

$\eqalign{ & {\text{According to question}} \cr & \,\,\frac{{\sqrt {24} + \sqrt {216} }}{{\sqrt {96} }} \cr & = \frac{{\sqrt {2 \times 2 \times 6} + \sqrt {6 \times 6 \times 6} }}{{\sqrt {4 \times 4 \times 6} }} \cr & = \frac{{2\sqrt 6 + 6\sqrt 6 }}{{4\sqrt 6 }} \cr & = \frac{8}{4} \cr & = 2 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: