Question

show that 5- √3 is an irrational numbers

Answer 1

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Answer 2

Step-by-step explanation:

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

⇒5−√3 = p/q

⇒√3 = 5q - p / q

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 

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