(ix)sqrt(2),(1)/(3)

Simplify P=(1)/(2sqrt(1)+sqrt(2))+(1)/(3sqrt(2)+2sqrt(3))+...+(1)/(100sqrt(99)+99sqrt(100))

Rationalize the denominator (1)/(sqrt(3)-sqrt(2)), (1)/(3sqrt(2)) ,(3)/(sqrt(8))

The sequence (1)/(sqrt(3)), (1)/(sqrt(3)+sqrt(2)), (1)/(sqrt(3) + 2 sqrt(2)) form an ........ .

Prove that : (1)/(sqrt(2)+1)+ (1)/(sqrt(3)+sqrt(2))+ (1)/(2+sqrt(3))=1

The number (7+5sqrt(2))^((1)/(3))+(7-5sqrt(2))^((1)/(3)) ,is equal to

(sqrt(3)-sqrt(2))(1)/(sqrt(3))

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ up to 15 terms is