Solve: $\sqrt{\frac{0.289}{0.00121}}$.

Given: $\sqrt{\frac{0.289}{0.00121}}$.

To do: To solve: $\sqrt{\frac{0.289}{0.00121}}$.

Solution: 
 

$\sqrt{\frac{0.289}{0.00121}}$

$=\sqrt{\frac{\frac{289}{1000}}{\frac{121}{100000}}}$

$=\sqrt{\frac{289}{1000}\times\frac{100000}{121}}$

$=\sqrt{289\times\frac{100}{121}}$

$=\sqrt{17\times17\times\frac{10\times10}{11\times11}}$

$=17\times\frac{10}{11}$

$=\frac{170}{11}$

$=15.45$

Thus, $\sqrt{\frac{0.289}{0.00121}}=15.45$.

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Updated on: 10-Oct-2022

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