\(\sqrt{12^2}\cdot13+\sqrt{7^2\cdot3}+\sqrt{11^2}\cdot13\)
\(=12\cdot13+7\sqrt{3}+11\cdot13\)
\(=13\cdot23+7\sqrt{3}=299+7\sqrt{3}\)
`sqrt{12^2} . 13 + sqrt{7^2 . 3} + sqrt{11^2} . 13`
`= 12 . 13 + 7sqrt{3} + 11 . 13`
`= 13 . (12 + 11) + 7sqrt{3}`
`= 13 . 23 + 7sqrt{3}`
`= 229 + 7sqrt{3}`