Question

prove that 3+4✓5 is an irrational number​

Answer 1

Step-by-step explanation:

Let us assume that 4−53 be rational

⟹4−53=ba where a,bϵZ

⟹−53=ba−4

⟹3=54−ba

L.H.S = irrational number as 3 is a irrational number.

R.H.S = rational number

as RHS=LHS

Hence, our assumption is wrong and 4−53 is a irrational

Answer 2

Answer:

We know 4✓5 is an irrational number.

When we add a rational wan irrational number we get an irrational number.

Thus 3+4✓5 is an irrational number.