Question

show that 5-√3 is irrational

Answer 1

Answer:

Step-by-step explanation:

5-√3 be the rational number

5-√3=a (let)

√3=5-a

Since a is rational and 3 is rational there fore (5-a) is rational as the difference of two rational numbers is also rational with respect to the opreation of subtraction

=>√3 is a rational number .

But know that √3 is not rational .

Hence our assumption is wrong.

Hence,2-√3 is an irrational number .

Answer 2

★ Refer to the attachment