`1/sqrt(8+2+sqrt(15))=`__________.

The sum of the first n terms of the series 1/(sqrt(2) + sqrt(5)) + 1/(sqrt(5) + sqrt(8)) + 1/(sqrt(8) + sqrt(11)) +... is

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/3) (b) 2/(sqrt(15)) sqrt(8/(15)) (d) sqrt((15)/2)

What is the value of sqrt(8 - 2 sqrt(15)) ?

Prove that (i) (1)/(3+sqrt(7)) + (1)/(sqrt(7)+sqrt(5))+(1)/(sqrt(5)+sqrt(3)) +(1)/(sqrt(3)+1)=1 (ii) (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+(1)/(sqrt(4)+sqrt(5))+(1)/(sqrt(5)+sqrt(6))+(1)/(sqrt(6)+sqrt(7)) +(1)/(sqrt(7)+sqrt(8))+(1)/(sqrt(8) + sqrt(9)) = 2

(3)/(sqrt(8))+(1)/(sqrt(2))

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/(3)) (b) (2)/(sqrt(15))sqrt((8)/(15)) (d) sqrt((15)/(2))

If log_(7)log_(7) sqrt(7sqrt(7sqrt(7)))=1-a log_(7)2 and log_(15)log_(15) sqrt(15sqrt(15sqrt(15sqrt(15))))=1-b log_(15)2 , then a+b=

If log_(7)log_(7) sqrt(7sqrt(7sqrt(7)))=1-a log_(7)2 and log_(15)log_(15) sqrt(15sqrt(15sqrt(15sqrt(15))))=1-b log_(15)2 , then a+b=