(vi)(sqrt(3)+sqrt(7))^(2)

( sqrt3 + sqrt7)^2

Simplify the following (i) sqrt45-3sqrt20+4sqrt5 (ii) sqrt(24)/8 + sqrt54/9 (iii) root4(12) xx root7(6) (iv) 4sqrt28 div 3sqrt7 div root3(7) (v) 3sqrt3+2sqrt27 + 7/(sqrt3) (vi) (sqrt3-sqrt2)^(2) (vii) root4(81)-8root3(216)+15root5(32)+ sqrt225 (viii) 3/sqrt8+ 1 / sqrt2 (ix) (2sqrt3)/3- (sqrt3)/6

(sqrt3 + sqrt7)^2

Simplify each of the following by rationalising the denominator: (7+3sqrt(5))/(7-3sqrt(5)) (ii) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))

Examine whether of the following numbers are rational or irrational . (i) 3 + sqrt(3)" " (ii) sqrt(7)-2 " " (iii)""^(3)sqrt(5) xx ""^(3)sqrt(25) sqrt(7) xx sqrt(343)" " (v)sqrt((13)/(117))" " (vi)sqrt(8) xx sqrt(2)

Examine,whether the following numbers are rational or irrational: sqrt(3)+sqrt(2)(v)sqrt(3)+sqrt(5) (vi) (sqrt(2)-2)^(2)

sqrt(2)+sqrt(3)+sqrt(7)-(1)/(sqrt(2)+sqrt(3)+sqrt(7))=?

Simplify each of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)+(sqrt(2)-1)/(sqrt(2)+1)" "(ii)(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))" "(iii)(2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))" "(iv)(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5))-(sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))

Simplify each of the following : (i)(sqrt(2)+1)/(sqrt(2)-1)+(sqrt(2)-1)/(sqrt(2)+1)" "(ii)(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))+(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))" "(iii)(2)/(sqrt(5)+sqrt(3))+(1)/(sqrt(3)+sqrt(2))-(3)/(sqrt(5)+sqrt(2))" "(iv)(sqrt(7)+sqrt(5))/(sqrt(7)-sqrt(5))-(sqrt(7)-sqrt(5))/(sqrt(7)+sqrt(5))

simplify the expression (sqrt(3)+sqrt(7))/(sqrt(3)-sqrt(7))