Question

Divide and simplify: $\frac{12\sqrt{75}}{4\sqrt{108}}$

• A. $\frac{5}{3}$
• B. $\frac{5}{2}$
• C. $\frac{1}{5}$
• D. $\frac{3}{5}$

Answer 1

The correct option is B $\frac{5}{2}$

The value of $\frac{12\sqrt{75}}{4\sqrt{108}}$

$=\frac{12\sqrt{25\times 3}}{4\sqrt{4\times 9\times 3}}$

$=\frac{12\times 5\times \sqrt{3}}{4\times 2\times 3\times \sqrt{3}}$

$=\frac{5}{2}$