Maths Rational and irrational Numbers Exercise1-2



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Q1 Prove that, √5 is an irrational number



Q2 Prove that, √7 is an irrational number.



Q3 Prove that √6 is an irrational number.



Q4 Prove that 1/√11 is an irrational number.



Q5 Prove that √2 is an irrational number. Hence show that 3 - √2 is an irrational.



Q6 Prove that, √3 is an irrational number. Hence, show that 2/5×√3 is an irrational



Q7 Prove that √5 is an irrational number. Hence, show that -3 + 2√5 is an irrational number



Q8 Prove that the following numbers are irrational:
(i) 5 +√2
(ii) 3 - 5√3
(iii) 2√3 - 7
(iv) √2 +√5



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