algebra 9th practice set 2.2 ka 2 questions
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Prove that 3 + √5 is an irrational number.
Let 3+√5 be rational number.
Step-by-step explanation:
- 3 +√5 = p/q
- .: √5 = p/q - 3. (i)
- Now, p/q -3 is also rational number.
- Then, √5 is rational number...( from i)
- But, it contradicts the fact that
√5 is an irrational number.
.: √5 is not equal to p/q-3
.: our assumption is wrong.
Hence, 3+√5 is an irrational number.
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