Question

algebra 9th practice set 2.2 ka 2 questions​

Answer 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.