`8sqrt(5) ` को `2sqrt(3)` से भाग दीजिए ।

Divide 8sqrt(15) and 2sqrt(3) .

8sqrt(5)+sqrt(20)-sqrt(125)

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))

(i) 3sqrt(5) by 2sqrt(5) ,(ii) 6sqrt(15) by 4sqrt(3) , (iii) 2sqrt(6) by 3sqrt(3) (iv) 3sqrt(8) by 3sqrt(2) ,(v) sqrt(10) by sqrt(40) , (vi) 3sqrt(28) by 2sqrt(7)

The simplest rationalising factor of 2sqrt(5)-sqrt(3) is (a) 2sqrt(5)+\ 3 (b) 2sqrt(5)+sqrt(3) (c) sqrt(5)+sqrt(3)\ \ (d) sqrt(5)-sqrt(3)

The value of (1)/( sqrt(7) - sqrt(6)) - (1)/( sqrt(6) - sqrt(5) ) +(1)/( sqrt(5) -2) - (1)/( sqrt(8) - sqrt(7) ) +(1)/( 3- sqrt(8)) is

Simplify: 5sqrt(3)+8sqrt(3)

Prove that (a) sqrt(-sqrt3 + sqrt(3 + 8 sqrt(7 + 4 sqrt3))) =2 (b) sqrt(2- sqrt5 + sqrt(-15 + 4 sqrt(41 + 12 sqrt5))) =2

The value of int_5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))dx"i s" (1) 10sqrt(5) (2) 5sqrt(5) (3) 10sqrt(2) (4) 8sqrt(2)