Question

Section - B
Prove that 6 + V2 is irrational. Given that VZ is irrationa​

Answer 1

Let 6+root 2 is a rational number then we get that a and b two co-prime integers.

Such that 6+root 2=a/b where b not equal

root 2 = a/b - 6

root 2 =(6-a/b)

Since a and b are two integers.

Therefore (6-a/b)is a rational number and So root also is a rational number.

But it is contradiction to fact root 2 =(6-a/b) is rational number.

So we proved  that 6+root 2 is an irrational number.

Answer 2

Answer:

Proof Given In Image

Step-by-step explanation:

Always Take Assumption As Given Number is Rational, Then Prove it Irrational