Question

show that 5-√3 is irrational​

Answer 1

Answer:

Step-by-step explanation:

To prove : 5-√3 is irrational

Proof:  Let us assume that 5 -√3 is rational.

Let ,

5 - √3 = r , where "r" is rational

5 - r = √3

Here,

LHS is purely rational.But,on the other hand ,RHS is irrational.

This leads to a contradiction.

Hence,5-√3 is irrational

Answer 2

PROOF:

A rational number is a number which can be expressed as a fraction.

So,

if we multiply 5 and (-√3) ,

√3=1.732........(non terminating,non recurring)

so the answer would be around

-8.6602......

which cannot be expressed as a fraction.

therefore it is Irrational.