Examine, whether the following numbers are rational or irrational: (i)

1.	Examine, whether the following numbers are rational or irrational: (i) √7 (ii) √4 (iii) 2+√3 (iv) √3+√2 (v) √3+√5 (vi) (√2−2)2 (vii) (2−√2)(2+√2) (viii) √2+√3)2 (ix) √5−2 (x) √23 (xi) √225 (xii) 0.3796 (xiii) 7.478478..... (xiv) 1.101001000100001.....
Answer» Examine, whether the following numbers are rational or irrational: (i) $\sqrt{7}$ (ii) $\sqrt{4}$ (iii) $2 + \sqrt{3}$ (iv) $\sqrt{3} + \sqrt{2}$ (v) $\sqrt{3} + \sqrt{5}$ (vi) $(\sqrt{2} - 2)^{2}$ (vii) $(2 - \sqrt{2}) (2 + \sqrt{2})$ (viii) $\sqrt{2} + \sqrt{3})^{2}$ (ix) $\sqrt{5} - 2$ (x) $\sqrt{23}$ (xi) $\sqrt{225}$ (xii) 0.3796 (xiii) 7.478478..... (xiv) 1.101001000100001.....

Examine, whether the following numbers are rational or irrational: (i) √7 (ii) √4 (iii) 2+√3 (iv) √3+√2 (v) √3+√5 (vi) (√2−2)2 (vii) (2−√2)(2+√2) (viii) √2+√3)2 (ix) √5−2 (x) √23 (xi) √225 (xii) 0.3796 (xiii) 7.478478..... (xiv) 1.101001000100001.....

Answer»

Examine, whether the following numbers are rational or irrational:

(i) $\sqrt{7}$ (ii) $\sqrt{4}$

(iii) $2 + \sqrt{3}$ (iv) $\sqrt{3} + \sqrt{2}$

(v) $\sqrt{3} + \sqrt{5}$ (vi) $(\sqrt{2} - 2)^{2}$

(vii) $(2 - \sqrt{2}) (2 + \sqrt{2})$ (viii) $\sqrt{2} + \sqrt{3})^{2}$

(ix) $\sqrt{5} - 2$ (x) $\sqrt{23}$

(xi) $\sqrt{225}$ (xii) 0.3796

(xiii) 7.478478..... (xiv) 1.101001000100001.....