" os - povethat "3+2sqrt(5)" is is dational "

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

sqrt(8-2sqrt(15)) is equal to 3-sqrt(5)b*sqrt(5)-sqrt(3) c.5-sqrt(3)d.sqrt(5)+sqrt(3)

Show that (sqrt5 + sqrt3)/(sqrt5 - sqrt3) - (sqrt5 - sqrt3)/(sqrt5 + sqrt3) = 2 sqrt15

(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)

Express each one of the following with rational denominator: (30)/(5sqrt(3)-3sqrt(5)) (ii) (1)/(2sqrt(5)-sqrt(3))

If p = (3-sqrt(5))/(3+sqrt(5)) and q = (3+sqrt5)/(3-sqrt(5)) ,find the value of p^(2) + q^(2) .