sqrt{sqrt[3]{sqrt[3]{sqrt[3]{sqrt[3]{sqrt[3]{ | vedclass

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(D) The given expression is $\sqrt{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{3}}}}}}$.Using the property $\sqrt[n]{a} = a^{\frac{1}{n}}$,we can rew

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) The given expression is $\sqrt{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{3}}}}}}$.Using the property $\sqrt[n]{a} = a^{\frac{1}{n}}$,we can rewrite the expression as:$= ((((3^{1/3})^{1/3})^{1/3})^{1/3})^{1/3})^{1/2}$$= 3^{(1/3 	imes 1/3 	imes 1/3 	imes 1/3 	imes 1/3 	imes 1/2)}$$= 3^{(1/3^5 	imes 1/2)}$$= 3^{(1/243 	imes 1/2)}$$= 3^{\frac{1}{486}}$Since none of the options match $3^{\frac{1}{486}}$,the correct answer is 'None of these'.

$\sqrt{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{3}}}}}} = ?$

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