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\(\dfrac{\sqrt81+\sqrt[3]{0.027}+\sqrt[4]{0.0081}}{\sqrt9+\sqrt[3]{0.729}+\sqrt[4]{0.6561}}\)
1. 2
2. 1
3. 1/2
4. 4

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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.

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