" E1"quad AdA(3sqrt(2)+7sqrt(3))" and "(sqrt(2)-5sqrt(3))

Add (3sqrt(2) + 7 sqrt(3)) and (sqrt(2) - 5sqrt(3)) .

(5sqrt(2)xx7sqrt(7))/(3sqrt(27)xx sqrt(125))=

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

(sqrt(7)-sqrt(5))^3 - (sqrt(7)+sqrt(5))^3

Add (i) (2sqrt(3)-5sqrt(2)) and (sqrt(3) + 2sqrt(2)) (ii) (2sqrt(2) + 5sqrt(3) - 7 sqrt(5) and (3sqrt(3)-sqrt(2) + sqrt(5)) (iii) ((2)/(3) sqrt(7) -(1)/(2)sqrt(2)+6sqrt(11)) and ((1)/(3)sqrt(7) + (3)/(2)-sqrt(11))

Add: (3sqrt3-sqrt2+sqrt5) and (2sqrt2+5sqrt3-7sqrt5)

(2sqrt(7))/(sqrt(5)-sqrt(3))

If both a and b are rational numbers,find the values of a and b in each of the following equalities :(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

Multiply (3sqrt(-7)-5sqrt(-2))(3sqrt(-2)+5sqrt(-2)

Subtract 5sqrt(3)+7sqrt(5) from 3sqrt(5)-7sqrt(3)