Question

3. Show that (√3+√5)² is an irrational number.​

Answer 1

Answer:

Let us assume that (root 3 + root 5 )2 is rational.

3 +2 × root 3× root 5 + 5 = a/b

5 + 2 × root 3 × root 5 = a/b

2 × root 3 ×root 5 = a - 5b / b

Now we say that root 3 + root 5 is an irrational number.

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