Question : $\sqrt{\frac{5}{4}×\frac{64}{125}×1.44}$ is equal to:
Option 1: $\frac{26}{25}$
Option 2: $\frac{24}{25}$
Option 3: $\frac{23}{25}$
Option 4: $\frac{21}{25}$
Correct Answer: $\frac{24}{25}$
Solution :
$\sqrt{\frac{5}{4} × \frac{64}{125} × 1.44}$
= $\sqrt{\frac{5}{4} × \frac{64}{125} × \frac{144}{100}}$
= $\sqrt{\frac{16}{25} × \frac{144}{100}}$
= $\sqrt{\frac{4×4}{5×5} × \frac{12 × 12}{10 × 10}}$
= $\frac{4}{5} × \frac{12}{10}$
= $\frac{24}{25}$
Hence, the correct answer is $\frac{24}{25}$.
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