How do you simplify $root3(351 )$ ?

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Answer 1 · 2016-12-23T03:43:35

First factorize 351. we get 351 = 333*13.

Now $root(3) 351 = (351)^(1/3) = (3.3.3.13)^(1/3)$

= $[3^1 . 3^1 . 3^1 .13]^(1/3)$

= $[3^(1+1+1) . 13]^(1/3)$

= $[3^3 . 13]^(1/3)$

= $[3^(3*1/3) . 13]^(1/3)$

= $3root(3) 13$

How do you simplify root3(351 )root3(351 )?