(iii) `sqrt3/sqrt8`

Evaluate the following : (i) sqrt(30-sqrt(25)) (ii) sqrt(36-sqrt(121)) (iii) root(3)27-root(3)8

(iii) (sqrt 5+ sqrt 3)/(sqrt5-sqrt3)+(sqrt5-sqrt3)/(sqrt5+sqrt3) =?

sqrt3 xx sqrt3

Assertion: The ratio of rms speed and average speed of a gas molecules at a given temperture is sqrt3:sqrt(8//pi) Reason: c_(rms)c_(av.)

The value of sin(sin^-1 (1/2)+ cos ^-1 (1/3)) is equal to (A) ((sqrt(3)+sqrt(8))/6) (B) ((1+2sqrt(6))/6) (C) - ((1+2sqrt(6))/6) (D) 0

Write in ascending order : (i) 3sqrt(5) and 4sqrt(3) (ii) 2root(3)(5) and 3root(3)(2) (iii) 6sqrt(5), 7sqrt(3) and 8sqrt(2)

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

(v) Solve for x and y if (sqrt2 x+sqrt 3 y)=0 and (sqrt3 x- sqrt8 y)=0

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0