If `sqrt(3^n)` = 729, then the value of n is : Options: A . &nbsp6 B . &nbsp8 C . &nbsp10 D . &nbsp12

If `sqrt(3^n)` = 729,

Question

If `sqrt(3^n)` = 729, then the value of n is :

Options:

A . 6

B . 8

C . 10

D . 12

Answer: Option D

`sqrt(3^n)` = 729 = `3^6` `hArr` (`sqrt(3^n)^2`) = `(3^6)^2` `hArr` `3^n` = `3^12` `hArr` n = 12.

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