Show that :
`( 1/sqrt(2) + sqrt(2) )^2 = ( 3/sqrt(2) )^2`

(1+sqrt(2))/(3-2sqrt(2))=A sqrt(2)+B

(-sqrt(3)/2 + sqrt(3))/(1/sqrt(2)-1)=

Show that (1)/(sqrt(2)+sqrt(3))-(2)/(sqrt(5)-sqrt(3))+(3)/(sqrt(5)-sqrt(2))=0 .

Show that (sqrt(2)+1)^(6)+(sqrt(2)-1)^(6)=198

Show that cot(142(1)/(2))^(@)=sqrt(2)+sqrt(3)-2-sqrt(6)

Evaluate : 1/( 1 + sqrt (2) ) + 1/( sqrt(2) + sqrt (3) ) + 1/ ( sqrt(3) + sqrt (4) )

Evaluate : Find the value of sqrt( 3 + sqrt(5)) a ) sqrt(3)/2 + 1/sqrt(2) b ) sqrt(3)/2 - 1/2 c ) sqrt(5)/2 - 1/sqrt(2) d ) sqrt(5)/sqrt(2) + 1/sqrt(2)

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)) (ii) (sqrt(5))/(2sqrt(3)) (iii) (1)/(2+ sqrt(3)) (1)/(sqrt(3)) (v) (1)/((5+3sqrt(2)) (vi) (1)/(sqrt(7) - sqrt(6)) (vi) (1)/(sqrt(7) - sqrt(6)) (viii) (1+ sqrt(2))/(2-sqrt(2)) (ix) (3-2sqrt(2))/(3+2sqrt(2))

((1)/(sqrt(2))+(3)/(sqrt(2)))times sqrt(2)=?