Math, asked by abubakarshaikh1982, 9 months ago

algebra 9th practice set 2.2 ka 2 questions​

Answers

Answered by shreya100207
1

Answer:

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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