1) √3 √7 = √21
2) √5 √245 = √5 √5 49 = √5 7√5 = 7 √5 5 = 7 √25 = 7 5 = 35
3) √77 ÷ √11 = as is. can't be simplified.
4) (√59)² = 59 ; the square root was cancelled by squared.
5) 3√6 x 8√7 = 3 8 √6 7 = 24 √42
6) 5√3 x 6 √3 = 5 6 √3 3 = 30 √9 = 30 3 = 90
7) 40√30 ÷ 5√3 = (40 / 5) (√30 /√3) = 8 ((√3 10) / √3) = 8 √10
8) (6√5)² = 6² √5² = 36 5 = 180
