Question : $\sqrt{1\frac{1}{4}×\frac{64}{125}×1.44}$ is equal to:
Option 1: $\frac{1}{25}$
Option 2: $\frac{24}{25}$
Option 3: $\frac{23}{25}$
Option 4: $\frac{21}{25}$
Correct Answer: $\frac{24}{25}$
Solution : Given: $\sqrt{1\frac{1}{4}×\frac{64}{125}×1.44}$ = $\sqrt{\frac{5}{4}×\frac{64}{125}×\frac{144}{100}}$ = $\sqrt{\frac{16×144}{2500}}$ =$\frac{48}{50}$ = $\frac{24}{25}$ Hence, the correct answer is $\frac{24}{25}$.
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Question : $\sqrt{\frac{5}{4}×\frac{64}{125}×1.44}$ is equal to:
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