2. Classify the following numbers as rational or irrational with
justification (i) √196 (ii)3√18 (iii)√9/27 (iv) √28/√343 (v) -√0.4 (vi) √12/√75 (vii) 0_5918 (viii) (1+√5)-(4+√5) (ix) 10.124124... (x) 1.010010001...
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Step-by-step explanation:
- rational bcoz √196 = 14 which is a rational number
- irrational bcoz 3√18 = 9√2 where √2 is irrational
- rational bcoz √9/27 = 3/27 = 1/9 where 1/9 is rational
- rational bcoz √28/√343 = 2√7/7√7 = 2/7 where 2/7 is rational
- rational bcoz -√0.4 = - 0.2 = - 1/5 where -1/5 is rational
- rational bcoz √12/ √75 = 2√3 / 5 √3 = 2/5 where 2/5 is rational.
- rational bcoz it is a terminating decimal expansion
- irrational bcoz √5 remains irrational
- rational bcoz it is a non terminating repeating decimal
- irrational bcox it is non terminating non repeating
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