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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
$\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}$ is equal to:
  • A
    $\sqrt{2}$
  • B
    $4$
  • C
    $8$
  • ✓
    $2$
✓

Answer

Correct option: D.
$2$
$\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}$
$\Rightarrow\frac{\sqrt{16\times2}+\sqrt{16\times3}}{\sqrt{4\times2}+\sqrt{4\times3}}$
$\Rightarrow\frac{4\sqrt{2}+4\sqrt{3}}{2\sqrt{2}+2\sqrt{3}}$
$\Rightarrow\frac{4}{2}(\frac{\sqrt{2}+\sqrt{3}}{\sqrt{2}+\sqrt{3}})$
$\Rightarrow2$

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