Prove that each of the following numbers is irrational
(i) ` sqrt6` (ii) ` (2 -sqrt3)`
(iii) ` ( 3+ sqrt23)` (iv) ` ( 2 + sqrt5)`
(v) ` ( 5+3sqrt2)` (iv)` ( 2+ sqrt5)`
(vii) ` 3/sqrt5` (viii) `( 2-3sqrt5)`
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Prove that following is irrational sqrt3 + sqrt5

Prove that following is an irrational sqrt3 + sqrt5 .

Classify the following numbers as rational or irrational: (i) 2-sqrt(5) (ii) (3+sqrt(23))-sqrt(23) (iii) (2sqrt(7))/(7sqrt(7)) (iv) 1/(sqrt(2)) (v) 2pi

Classify the following numbers as rational or irrational . (i) 2-sqrt(5) (ii) (3+sqrt(23))-sqrt(23) (iii) (2sqrt(7))/(7sqrt(7)) (iv) (1)/(sqrt(2)) (v) 2pi

Classify the following numbers as rational or irrational number: (i) sqrt(27) (ii) sqrt(36 (iii) sqrt(5) xx sqrt(125) (iv) 2 sqrt(3) (v) (7 sqrt(7))/(sqrt(343)) (vi) 2 + sqrt(21) (viii) 5 + 2 sqrt(23) - (sqrt(25) + sqrt(92)) (viii) (22)/(7) (ix) pi (x) .^(3)sqrt(37)

(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)

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 numbres are rational or irrational: (i) (5-sqrt(5)) (5+sqrt(5)) (ii) (sqrt(3)+2)^(2) (iii) (2sqrt(13))/(3sqrt(52) - 4sqrt(117)) (iv) sqrt(8) + 4sqrt(32) - 6sqrt(2)

whether the following number is rational or irrational ((2+sqrt(2))(3-sqrt(5)))/((3+sqrt(5))(2-sqrt(2)))