化簡(√11+5√7+4√6)/(7+√77+√66+√42)?

(√11 + 5√7 + 4√6) / (7 + √77 + √66 + √42)
= (√11 + 5√7 + 4√6) / (7 + √11√7 + √11√6 + √7√6)
= (√11+ 5√7 + 4√6) / (7 + (√11+√6)√7 + √11√6)
= (√11+ 5√7 + 4√6) / ((√7+√11) (√7+√6))
= (√11+√7 + 4(√7+√6)) / ((√7+√11) (√7+√6))
= 1/(√7+√6) + 4/(√7+√11)
= (√7- √6)/(7- 6) + 4(√11- √7)/(11- 7)
= (√7 - √6) + (√11 - √7)
= √11 - √6