Question

Prove that
5-√3
is
irational given that√3 is irrational​

Answer 1

Step-by-step explanation:

5-√3=a/b

-√3=a/b-5

-√3=a-5b/b

√3=-(a-5b/b)

√3=5b-a/b

here, -a+5b/b is a rational number .

but √3 is irrational

hence, 5-√3 is irrational.