State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form √m, where ′m′ is a natural number.
(iii) Every real number is an irrational number.
π is a real number. State whether true or false.
State, in each case, whether true or false.
(i) √2+√3=√5
(ii) 2√4+2=6
(iii) 3√7−2√7=√7
(iv) 27 is an irrational number.
(v) 511 is a rational number.
(vi) All rational numbers are real numbers.
(vii) All real numbers are rational numbers.
(viii) Some real numbers are rational numbers.