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Rationalisation [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsRationalisation [NEW]1 Mark
MCQ
The value of $\frac{15 \sqrt{15}}{3 \sqrt{3}}$ is
  • A
    $3 \sqrt{5}$
  • B
    $5 \sqrt{3}$
  • ✓
    $5 \sqrt{5}$
  • D
    $3 \sqrt{3}$
✓

Answer

Correct option: C.
$5 \sqrt{5}$
(c)
Using $\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}$, we obtain
$\frac{15 \sqrt{15}}{3 \sqrt{3}}=\frac{15}{3} \sqrt{\frac{15}{3}}=5 \sqrt{5}$

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