Which of the following is TRUE? I. \sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45} II. \sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45} III. \sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11} IV. \sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}

Question 9

Which of the following is TRUE?
$$I. \sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45}$$

$$II. \sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45}$$

$$III. \sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$$

$$IV. \sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}$$

Solution

$$\sqrt[3]{11} , \sqrt{7}, \sqrt[4]{45}$$
Here $$\sqrt{7}=\sqrt[4]{49}$$
$$sqrt[4]{45}<\sqrt[4]{49}$$
Now $$sqrt[4]{45}>$$\sqrt[3]{11} since 3rd power of 45 will be greater than 4th power of 11 i.e 14631
an so $$\sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$$

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SSC CGL Tier-2-17-February-2018 Maths

Which of the following is TRUE?$$I. \sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45}$$ $$II. \sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45}$$ $$III. \sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$$ $$IV. \sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}$$

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Which of the following is TRUE?
$$I. \sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45}$$

$$II. \sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45}$$

$$III. \sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$$

$$IV. \sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}$$