`(sqrt8-sqrt5)/(sqrt8+sqrt5)+4sqrt10`

FOIL (sqrt8-sqrt2)(sqrt8-sqrt2)

Simplify (7sqrt3)/(sqrt10+sqrt3)-(2sqrt5)/(sqrt6+sqrt5)-(3sqrt2)/(sqrt15+3sqrt2)

Find the value of the "determinant" |{:(sqrt13+sqrt3,2sqrt5,sqrt5),(sqrt26+sqrt15,5,sqrt10),(sqrt65+3,sqrt15,5):}|

(sqrt5 - sqrt3)/(sqrt5 + sqrt3) is equal to :

Using the properties of detminants, evalulate. (i) |{:(,23,6,11),(,36,5,26),(,63,13,37):}| (ii) |{:(,sqrt13+sqrt3,2sqrt5,sqrt5),(,sqrt15+sqrt26,5,sqrt10),(,3+sqrt65,sqrt15,5):}|

Find (sqrt 3 - sqrt 5)(sqrt 5+ sqrt3)

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

2sqrt5 - sqrt5 = sqrt5

sqrt(21-4sqrt5+8sqrt3-4sqrt12)=

The value of log_10(sqrt(3-sqrt(5))+sqrt(3+sqrt(5))) is