Simplify $2sqrt27+3sqrt12$ ?

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Answer 1 · 2017-06-22T05:30:08

$2sqrt27+3sqrt12=12sqrt3$

$2$ square root of $27$ plus $3$ square root of $12$ can be written as

$2sqrt27+3sqrt12$

= $2sqrt(3xx3xx3)+3sqrt(2xx2xx3)$

= $2sqrt(ul(3xx3)xx3)+3sqrt(ul(2xx2)xx3)$

= $2xx3xxsqrt3+3xx2xxsqrt3$

= $6sqrt3+6sqrt3$

= $(6+6)sqrt3$

= $12sqrt3$

Simplify 2sqrt27+3sqrt122sqrt27+3sqrt12?