Question

prove that 6+2✓5 is irrational
Number​

Answer 1

Answer:

let us assume that 6 -2 root5 is a rational number.

Therefore ,

6 -2root 5 = p / q where p and q are integers and q ia not equal to 0.

6 - 2root 5 = a / b where a and b are co-prime .

\sqrt{5} = \frac{a}{2b} + 6

5

=

2b

a

+6

Therefore ,

This contradicts the fact that root 5 is rational .

This is because of our weong assumption that 6 - 2root 5 is rational .

Therefore 6 - 2 root 5 is irrational

Step-by-step explanation:

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Answer 2

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