Question

1. Classify the following numbers as rational or irrational:
(1) (3 + √23) - √23
(2) 2-√5​

Answer 1

Step-by-step explanation:

1. rational

2. irrational

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Answer 2

Answer:

(i) 2 - √5 We kno that √5 = 2.236..., which is an irrational number

2 - √5 = 2 - 2.236.. = -0.236..., which is also an irrational number.

Therefore, we conclude that 2 - √5 is an irrational number.

(ii) (3 +√23) - √23 (3 +√23) - √23 = 3 +√23 - √23 = 3.

Therefore, we conclude that (3 +√23) - √23 is a rational