Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
When $15\sqrt{15}$ is divided by $3\sqrt{3},$ the quotient is:
A
$5\sqrt{3}$
B
$3\sqrt{5}$
✓
$5\sqrt{5}$
D
$3\sqrt{3}$
✓
Answer
Correct option: C.
$5\sqrt{5}$
$\frac{15\sqrt{15}}{3\sqrt{3}}=\frac{5\sqrt{5\times3}}{\sqrt{3}}$
$\frac{5\sqrt{5}\times\sqrt{3}}{\sqrt{3}}=5\sqrt{5}$
Hence, the correct answer is option $(c).$
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