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Simplify: 7296+655364+58323+1764\sqrt[6]{729} + \sqrt[4]{65536} + \sqrt[3]{5832} + \sqrt{1764}6729​+465536​+35832​+1764​​
Question

Simplify: 7296+655364+58323+1764\sqrt[6]{729} + \sqrt[4]{65536} + \sqrt[3]{5832} + \sqrt{1764}

A.

121

B.

65

C.

133

D.

79

Correct option is D

Given:

7296+655364+58323+1764\sqrt[6]{729}+\sqrt[4]{65536}+\sqrt[3]{5832}+\sqrt{1764}​​

Formula Used:

ann=a\sqrt[n]{a^n}=a ​​

Solution:​​

7296+655364+58323+1764\sqrt[6]{729}+\sqrt[4]{65536}+\sqrt[3]{5832}+\sqrt{1764}
=366+2164+1833+422\sqrt[6]{3^6}+\sqrt[4]{2^{16}}+\sqrt[3]{18^3}+\sqrt{42^2}​​

Sum = 3 + 16 + 18 + 42 = 79

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