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Find the value of \(\sqrt {5\sqrt {5\sqrt {5\sqrt 5 } } } \)

1. 515/16
2. 5
3. 51/3
4. 52/3

1 Answer

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Best answer
Correct Answer - Option 1 : 515/16

Given:

\(\sqrt {5\sqrt {5\sqrt {5\sqrt 5 } } } \)

Concept used:

Simplification

Calculation:

When process is not up to infinite terms then 

we use formulae = \({N^{\frac{{{2^{t - 1}}}}{{{2^t}}}}}\)

Where N is the digit and t is the number of times the digit is repeated.

⇒ \({5^{\frac{{{2^{4 - 1}}}}{{{2^4}}}}}\)

∴ Ans : 515/16

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