Question

Prove that 5-√5 is an irrational number

Answer 1

Answer:5-√5

Step-by-step explanation:

5-√5=a/b

-√5=a/b-5

hence a/b-5 is a rational number

∴√5 is also a rational number but it contradicts the fact that √5 is an irrational number so 5-√5 is an irrational number

hence proved

hope it helps!!