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Number Systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber Systems2 Marks
Question
Simplify the following: $\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}$
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Answer

$\frac{\sqrt{24}}{8}+\frac{\sqrt{54}}{9}=\frac{\sqrt{4\times5}}{8}+\frac{\sqrt{9\times6}}{9}$ $\frac{2\sqrt{6}}{8}+\frac{3\sqrt{6}}{9}=\frac{\sqrt{6}}{4}+\frac{\sqrt{6}}{3}$ $=\sqrt{6}\Big(\frac{1}{4}+\frac{1}{3}\Big)$ $=\sqrt{6}\Big(\frac{3+4}{12}\Big)=\frac{7\sqrt{6}}{12}$

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