How do you simplify $root3(72)$ ?

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Answer 1 · 2016-05-31T11:58:45

$root(3)72=2root(3)9$

To simplify $root(3)72$ , first factorize $72$

As $72=2xx2xx2xx3xx3$

$root(3)72=root(3)(ul(2xx2xx2)xx3xx3)$

= $2root(3)(3xx3)$

= $2root(3)9$

How do you simplify root3(72)root3(72)?