Question-68740

Question Number 68740 by ahmadshah last updated on 15/Sep/19

Commented by Prithwish sen last updated on 15/Sep/19

\sqrt{30 \sqrt{30 \sqrt{30 \sqrt{30} \sqrt{30 {(30^{2})}^{\frac{1}{2}}}}}}

= \sqrt{30 \sqrt{30 \sqrt{30 \sqrt{30} \sqrt{{(30)}^{2}}}}}

= \sqrt{30 \sqrt{30 \sqrt{{(30)}^{\frac{5}{2}}}}}

= \sqrt{30 \sqrt{30 . {(30)}^{\frac{5}{4}}}}

= \sqrt{30 \sqrt{{(30)}^{\frac{9}{4}}}}

= \sqrt{30 . {(30)}^{\frac{9}{8}}}

= {(30^{\frac{17}{8}})}^{\frac{1}{2}} = 30^{\frac{17}{16}}

Answered by MJS last updated on 15/Sep/19

30^{\frac{17}{16}}

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