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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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