Correct Answer - Option 1 : 2
Given:
\(\dfrac{\sqrt81+\sqrt[3]{0.027}+\sqrt[4]{0.0081}}{\sqrt9+\sqrt[3]{0.729}+\sqrt[4]{0.6561}}\)
Calculation:
\(\dfrac{\sqrt81+\sqrt[3]{0.027}+\sqrt[4]{0.0081}}{\sqrt9+\sqrt[3]{0.729}+\sqrt[4]{0.6561}}\)
⇒ \(\dfrac{9+{0.3}+{0.3}}{3+{0.9}+{0.9}}\)
⇒ \(\dfrac{9.6}{4.8}\)
⇒ 2
∴ The value of \(\dfrac{9+{0.3}+{0.3}}{3+{0.9}+{0.9}}\) is 2.