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Please answer me the question attached from Suarez root over 2 over Suare root over 2 for 24 times

Please answer me the question attached from Suarez root over 2 over Suare root over 2 for 24 times

Question Image
Grade:12

1 Answers

Sarah Saha
38 Points
5 years ago
LET         (\sqrt{2\sqrt{2\sqrt{2}}})X24 TIMES=K
      NOW;squaring both sides we get:-
            \Rightarrow 2\sqrt{2\sqrt{2}}}x24=kxk 
                                                                                                                 \Rightarrow (2\times 2^{1/2}\times 2^{1/2})\times 24=_k{2} \Rightarrow( 2\times 2)\times 24=k^{2} \Rightarrow4\times 24=k^{2} \Rightarrow 96=k^{2} \Rightarrow k=4\sqrt{6}
         HENCE,the value of the given above equation is 4\sqrt{6}
 
THANKS.

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