sqrt{3 sqrt{3 sqrt{3 sqrt{3 sqrt{3 sqrt{3}}}} | vedclass

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Question

(D) The expression is of the form $\sqrt{a \sqrt{a \sqrt{a \dots \sqrt{a}}}}$ ($n$ times).For $n$ radicals,the value is given by $a^{\frac{2^n - 1}{2^

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) The expression is of the form $\sqrt{a \sqrt{a \sqrt{a \dots \sqrt{a}}}}$ ($n$ times).For $n$ radicals,the value is given by $a^{\frac{2^n - 1}{2^n}}$.Here,$a = 3$ and the number of radicals $n = 6$.Substituting these values into the formula:$x = 3^{\frac{2^6 - 1}{2^6}}$$x = 3^{\frac{64 - 1}{64}}$$x = 3^{\frac{63}{64}}$Since $3^{\frac{63}{64}}$ is not among the options $A, B,$ or $C$,the correct choice is $D$.

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

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