Simplify 2sqrt27+3sqrt12227+312?

1 Answer
Jun 22, 2017

2sqrt27+3sqrt12=12sqrt3227+312=123

Explanation:

22 square root of 2727 plus 33 square root of 1212 can be written as

2sqrt27+3sqrt12227+312

= 2sqrt(3xx3xx3)+3sqrt(2xx2xx3)23×3×3+32×2×3

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

= 2xx3xxsqrt3+3xx2xxsqrt3

= 6sqrt3+6sqrt3

= (6+6)sqrt3

= 12sqrt3