(sqrt(a)+sqrt(b))(sqrt(a)-sqrt(b))=a-b

Evaluate : ( sqrt(a) + sqrt(b) ) ( sqrt(a) - sqrt(b) )

If a and b are positive natural numbers (sqrt(a)+sqrt(b))(sqrt(c)+sqrt(d))=sqrt(ac)+sqrt(ad)+sqrt(bc)+sqrt(bd)

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)

The conjugate surd of sqrt(a)+b is sqrt(a)-b b- "sqrt(a) sqrt(a)+sqrt(b) sqrt(a)-sqrt(b)

If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)),b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) then the value of a+b is

(l)/(sqrt(a)-sqrt(b))+(m)/(sqrt(b)-sqrt(c))+(n)/(sqrt(c)-sqrt(a))=0,(l)/(sqrt(a)+sqrt(b))+(m)/(sqrt(b)+sqrt(c))+(n)/(sqrt(c)+sqrt(a))=0 then show that (l)/((a-b)(c-sqrt(ab)))=(m)/((b-c)(a-sqrt(bc)))=(n)/((c-a)(b-sqrt(ac)))

(sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=2-b sqrt(6) find b

If a=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)) and b=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)), find the value of (a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))