Math, asked by ruhanika6042, 1 year ago


 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2} } } } }  = what

Answers

Answered by superjunior
22
\huge \mathtt {Annyeong }

Use the formula :

 {a}^{1 - \frac{1}{ {2}^{5} } }

Where a =2

And N =5

 \bold {Coming\: on \:your\:question..}

 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2} } } } } \\ \\ = {2}^{1 - \frac{1}{ {2}^{5} } } = {(2)}^{1 - \frac{1}{32} } \\ \\ = {2}^{ \frac{32 - 1}{32} } \\ \\ = = > {2}^{ \frac{31}{32} }
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