`(4+sqrt2)/(4-sqrt2)+(4-sqrt2)/(4+sqrt2)`

If 1/(4-sqrt8)+(3+2 sqrt2)/(3-2 sqrt2)- (3-2 sqrt2)/(3+2 sqrt2)=a+b sqrt2 , then what is the value of (3a+4b) ? यदि 1/(4-sqrt8)+(3+2 sqrt2)/(3-2 sqrt2)- (3-2 sqrt2)/(3+2 sqrt2)=a+b sqrt2 तो (3a+4b) का मान ज्ञात कीजिए?

(4+sqrt2)/(2+sqrt2)times(2-sqrt2)/(2-sqrt2)=?

Prove that sin ((23pi)/24) = sqrt((2 sqrt2 - sqrt3 -1)/(4 sqrt2))

Simplify each of the following : (3)/(5-sqrt(3))+(2)/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))(sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

(3sqrt(2)-sqrt(3))(4sqrt(3)-sqrt(2))

Find the limit, when n to oo, of (sqrtn)/((3 + 4sqrtn)^(2))+ (sqrtn)/(sqrt2 (3 sqrt2+ 4 sqrtn)^(2)) (sqrtn)/(sqrt3 (3sqrt3+ 4 sqrtn )^(2))+...+ (1)/(49n)

Arrange the following in decending order sqrt(3) - sqrt(2), sqrt(4) - sqrt(3), sqrt(5) - sqrt(4), sqrt(2) - 1 .