Question

4.Prove that 5-√3 is an irrational number.

Answer 1

Answer:

ANSWER

Let us assume the given number be rational and we will write the given number in p/q form

⇒5−3=qp

⇒3=q5q−p

We observe that LHS is irrational and RHS is rational, which is not possible. 

This is contradiction. 

Hence our assumption that given number is rational is false 

⇒5−

3  is irrational 

Answer 2

Answer:

let us assum that 5-√3 is rational number so we can find two integers a , b. Where a and b are two co - primes number. So it arise contradiction due to our wrong assumption that 5 - √3 is rational number. Hence, 5 -√3 is irrational number.

Step-by-step explanation:

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