Which of the following is TRUE?
$$I. \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt{5}}$$
$$II. \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt{5}}$$
$$III. \frac{1}{\sqrt{5}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}}$$
$$IV.  \frac{1}{\sqrt{5}} > \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt[3]{12}}$$
$$\frac{1}{\sqrt[3]{12}} , \frac{1}{\sqrt[4]{29}} , \frac{1}{\sqrt{5}}$$
Here if we write $$\frac{1}{\sqrt{5}}$$ in terms of fourth root we have $$\frac{1}{\sqrt[4]{25}}$$
So  $$\frac{1}{\sqrt[4]{29}} >  \frac{1}{\sqrt[4]{5}}$$
$$\sqrt[3]{12}$$=$$\sqrt[12]{144*144}$$
$$\frac{1}{\sqrt[4]{29}}$$=$$\frac{1}{\sqrt[12]{29*29*29}}$$
Therefore $${\sqrt[4]{29}}$$>$$\sqrt[3]{12}$$
As these are given in the denominators order will be reversed.
$$\frac{1}{\sqrt{5}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}}$$
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