Question : Simplify $\sqrt{3\tfrac{33}{64}}+\sqrt{9\tfrac{1}{7}} × 2\sqrt{3\tfrac{1}{9}}$
Option 1: $\frac{45}{256}$
Option 2: $1\tfrac{17}{28}$
Option 3: $4\tfrac{3}{8}$
Option 4: $2\tfrac{3}{16}$
Correct Answer: $2\tfrac{3}{16}$
Solution :
Given: $\sqrt{3\tfrac{33}{64}}+\sqrt{9\tfrac{1}{7}} × 2\sqrt{3\tfrac{1}{9}}$
After simplifying this expression,
⇒ $\sqrt{\frac{225}{64}}+\sqrt{\frac{64}{7}}×\sqrt{\frac{112}{9}}$
⇒ $\frac{15}{8}+\frac{32}{3}$
⇒ $\frac{45+256}{24}$
⇒ $\frac{301}{24}$
⇒ $12\frac{13}{24}$
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